91916697600 has 1152 divisors, whose sum is σ = 408202310880. Its totient is φ = 19251855360.

The previous prime is 91916697583. The next prime is 91916697619. The reversal of 91916697600 is 679661919.

91916697600 is a `hidden beast` number, since 9 + 19 + 16 + 6 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 670924732 + ... + 670924868.

Almost surely, 2^91916697600 is an apocalyptic number.

91916697600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91916697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204101155440).

91916697600 is an abundant number, since it is smaller than the sum of its proper divisors (316285613280).

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

91916697600 is a wasteful number, since it uses less digits than its factorization.

91916697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 91916697600 in words is "ninety-one billion, nine hundred sixteen million, six hundred ninety-seven thousand, six hundred".