91916916748800 has 1920 divisors, whose sum is σ = 368798585379840. Its totient is φ = 19884441600000.

The previous prime is 91916916748781. The next prime is 91916916748883. The reversal of 91916916748800 is 884761961919.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19762826475 + ... + 19762831125.

It is an arithmetic number, because the mean of its divisors is an integer number (192082596552).

Almost surely, 2^{91916916748800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91916916748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184399292689920).

91916916748800 is an abundant number, since it is smaller than the sum of its proper divisors (276881668631040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91916916748800 is a wasteful number, since it uses less digits than its factorization.

91916916748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 69.

The spelling of 91916916748800 in words is "ninety-one trillion, nine hundred sixteen billion, nine hundred sixteen million, seven hundred forty-eight thousand, eight hundred".