91256613118272 has 560 divisors, whose sum is σ = 322316765730432. Its totient is φ = 24986430443520.

The previous prime is 91256613118211. The next prime is 91256613118303. The reversal of 91256613118272 is 27281131665219.

91256613118272 is a `hidden beast` number, since 9 + 1 + 2 + 5 + 6 + 613 + 1 + 18 + 2 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82148622 + ... + 83252082.

Almost surely, 2^{91256613118272} 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 91256613118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161158382865216).

91256613118272 is an abundant number, since it is smaller than the sum of its proper divisors (231060152612160).

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

91256613118272 is a wasteful number, since it uses less digits than its factorization.

91256613118272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103588 (or 1103569 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 91256613118272 in words is "ninety-one trillion, two hundred fifty-six billion, six hundred thirteen million, one hundred eighteen thousand, two hundred seventy-two".