56815931952 has 320 divisors, whose sum is σ = 188821248000. Its totient is φ = 16207921152.

The previous prime is 56815931951. The next prime is 56815931959. The reversal of 56815931952 is 25913951865.

56815931952 is a `hidden beast` number, since 568 + 15 + 9 + 3 + 19 + 52 = 666.

56815931952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (56815931951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5009424 + ... + 5020752.

It is an arithmetic number, because the mean of its divisors is an integer number (590066400).

Almost surely, 2^56815931952 is an apocalyptic number.

56815931952 is a gapful number since it is divisible by the number (52) 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 56815931952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94410624000).

56815931952 is an abundant number, since it is smaller than the sum of its proper divisors (132005316048).

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

56815931952 is a wasteful number, since it uses less digits than its factorization.

56815931952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11425 (or 11413 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The spelling of 56815931952 in words is "fifty-six billion, eight hundred fifteen million, nine hundred thirty-one thousand, nine hundred fifty-two".