56315596800 has 156 divisors (see below), whose sum is σ = 186195190880. Its totient is φ = 15017410560.

The previous prime is 56315596787. The next prime is 56315596829. The reversal of 56315596800 is 869551365.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56315596800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215541 + ... + 398859.

Almost surely, 2^56315596800 is an apocalyptic number.

56315596800 is a gapful number since it is divisible by the number (50) 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 56315596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93097595440).

56315596800 is an abundant number, since it is smaller than the sum of its proper divisors (129879594080).

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

56315596800 is a wasteful number, since it uses less digits than its factorization.

56315596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183356 (or 183329 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 56315596800 in words is "fifty-six billion, three hundred fifteen million, five hundred ninety-six thousand, eight hundred".