56515583904 has 576 divisors, whose sum is σ = 183495062016. Its totient is φ = 15078555648.

The previous prime is 56515583821. The next prime is 56515583909. The reversal of 56515583904 is 40938551565.

56515583904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56515583904² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (56515583909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359971794 + ... + 359971950.

It is an arithmetic number, because the mean of its divisors is an integer number (318567816).

Almost surely, 2^56515583904 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 56515583904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91747531008).

56515583904 is an abundant number, since it is smaller than the sum of its proper divisors (126979478112).

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

56515583904 is a wasteful number, since it uses less digits than its factorization.

56515583904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 51.

The spelling of 56515583904 in words is "fifty-six billion, five hundred fifteen million, five hundred eighty-three thousand, nine hundred four".