56157691392 has 900 divisors, whose sum is σ = 200718590688. Its totient is φ = 15601766400.

The previous prime is 56157691379. The next prime is 56157691439. The reversal of 56157691392 is 29319675165.

56157691392 is a `hidden beast` number, since 5 + 61 + 576 + 9 + 1 + 3 + 9 + 2 = 666.

It is a super-2 number, since 2×56157691392² (a number of 22 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1811538417 + ... + 1811538447.

Almost surely, 2^56157691392 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 56157691392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100359295344).

56157691392 is an abundant number, since it is smaller than the sum of its proper divisors (144560899296).

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

56157691392 is a wasteful number, since it uses less digits than its factorization.

56157691392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 66 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The spelling of 56157691392 in words is "fifty-six billion, one hundred fifty-seven million, six hundred ninety-one thousand, three hundred ninety-two".