56504083968 has 240 divisors, whose sum is σ = 166267076976. Its totient is φ = 18469601280.

The previous prime is 56504083967. The next prime is 56504084011. The reversal of 56504083968 is 86938040565.

It is a happy number.

56504083968 is a `hidden beast` number, since 56 + 504 + 0 + 83 + 9 + 6 + 8 = 666.

56504083968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56504083967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60046378 + ... + 60047318.

Almost surely, 2^56504083968 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 56504083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83133538488).

56504083968 is an abundant number, since it is smaller than the sum of its proper divisors (109762993008).

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

56504083968 is a wasteful number, since it uses less digits than its factorization.

56504083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 56504083968 in words is "fifty-six billion, five hundred four million, eighty-three thousand, nine hundred sixty-eight".