56515533658800 has 720 divisors, whose sum is σ = 200834533767168. Its totient is φ = 13537081958400.

The previous prime is 56515533658763. The next prime is 56515533658867. The reversal of 56515533658800 is 885633551565.

56515533658800 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 (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4996505145 + ... + 4996516455.

Almost surely, 2^{56515533658800} is an apocalyptic number.

56515533658800 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 56515533658800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100417266883584).

56515533658800 is an abundant number, since it is smaller than the sum of its proper divisors (144319000108368).

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

56515533658800 is a wasteful number, since it uses less digits than its factorization.

56515533658800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11858 (or 11824 counting only the distinct ones).

The product of its (nonzero) digits is 64800000, while the sum is 60.

The spelling of 56515533658800 in words is "fifty-six trillion, five hundred fifteen billion, five hundred thirty-three million, six hundred fifty-eight thousand, eight hundred".