91392261120 has 1056 divisors, whose sum is σ = 362122488000. Its totient is φ = 21998075904.

The previous prime is 91392261119. The next prime is 91392261139. The reversal of 91392261120 is 2116229319.

91392261120 is a `hidden beast` number, since 9 + 1 + 39 + 2 + 2 + 611 + 2 + 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 95 ways as a sum of consecutive naturals, for example, 613370806 + ... + 613370954.

Almost surely, 2^91392261120 is an apocalyptic number.

91392261120 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 91392261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181061244000).

91392261120 is an abundant number, since it is smaller than the sum of its proper divisors (270730226880).

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

91392261120 is a wasteful number, since it uses less digits than its factorization.

91392261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 91392261120 in words is "ninety-one billion, three hundred ninety-two million, two hundred sixty-one thousand, one hundred twenty".