91974916800 has 1008 divisors, whose sum is σ = 377504504832. Its totient is φ = 21872332800.

The previous prime is 91974916783. The next prime is 91974916807. The reversal of 91974916800 is 861947919.

91974916800 is a `hidden beast` number, since 9 + 1 + 97 + 491 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (91974916807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156686107 + ... + 156686693.

Almost surely, 2^91974916800 is an apocalyptic number.

91974916800 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 91974916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188752252416).

91974916800 is an abundant number, since it is smaller than the sum of its proper divisors (285529588032).

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

91974916800 is a wasteful number, since it uses less digits than its factorization.

91974916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 91974916800 in words is "ninety-one billion, nine hundred seventy-four million, nine hundred sixteen thousand, eight hundred".