91252656000 has 1280 divisors, whose sum is σ = 381912822720. Its totient is φ = 21399552000.

The previous prime is 91252655999. The next prime is 91252656043. The reversal of 91252656000 is 65625219.

91252656000 is a `hidden beast` number, since 9 + 1 + 25 + 26 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 527471914 + ... + 527472086.

Almost surely, 2^91252656000 is an apocalyptic number.

91252656000 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 91252656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190956411360).

91252656000 is an abundant number, since it is smaller than the sum of its proper divisors (290660166720).

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

91252656000 is a wasteful number, since it uses less digits than its factorization.

91252656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 91252656000 in words is "ninety-one billion, two hundred fifty-two million, six hundred fifty-six thousand".