56357892864 has 1296 divisors, whose sum is σ = 224072110080. Its totient is φ = 13284311040.

The previous prime is 56357892823. The next prime is 56357892883. The reversal of 56357892864 is 46829875365.

It is a happy number.

56357892864 is a `hidden beast` number, since 56 + 3 + 578 + 9 + 2 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (87091200) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1817996529 + ... + 1817996559.

Almost surely, 2^56357892864 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 56357892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112036055040).

56357892864 is an abundant number, since it is smaller than the sum of its proper divisors (167714217216).

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

56357892864 is a wasteful number, since it uses less digits than its factorization.

56357892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 56357892864 in words is "fifty-six billion, three hundred fifty-seven million, eight hundred ninety-two thousand, eight hundred sixty-four".