There is no such thing as "the Muslim Empire". There were numerous (over 25) distinct Islamic Empires that all had distinct rises and falls at different times and places.
The Rashidun Caliphate, the first Islamic Empire was at its height in 660 C.E., just before the Fitna al-Kubra (the First Islamic Civil War). The Umayyad Caliphate in the Middle East was at its height in 750 C.E., just before it was overthrown by the Abbassids. The Abbassid Caliphate had its height in the 9th-11th centuries when the Islamic Golden Age happened. The Umayyad Caliphate in the Spain had its height at roughly the same time as the Abbassids. The Ottoman Empire's golden age was in the 1500s, the Acehnese in the 1200s, the Mughals' in the 1600s, Mysore had a peak in the 1700s as did Zanzibar, etc. So there was no single moment when all Islamic Empires reached their peak.
The peak of Muslim civilization in India A flourishing economy its culture and prosperity.
The Islamic Golden Age occurred primarily under the auspices of the Abbassid Empire.
The Arabian Empire was primarily Muslim, as was the Ottoman Empire.
Yes. The Ottoman Empire was mostly, if not all, Muslim.
The capital of the Muslim empire in India is Delhi. And your welcome.
The Ottoman Empire was not the largest Muslim Empire as the Umayyad Empire in 749 CE was larger. However, it may be the most influential Muslim Empire, but that is up to the perception of the person discussing it.
Aurangzeb's death lead to the decline of the Muslim empire in India.
At its peak, the estimated population of the Mongol Empire was around 100 million people.
The Ottoman Empire
At its peak, the estimated population of the Persian Empire was around 50 million people.
Ottoman Empire
The Byzantine Empire was Christian.