56751503116464 has 600 divisors, whose sum is σ = 190663453632960. Its totient is φ = 16190889099264.

The previous prime is 56751503116423. The next prime is 56751503116471. The reversal of 56751503116464 is 46461130515765.

56751503116464 is a `hidden beast` number, since 5 + 6 + 7 + 5 + 1 + 503 + 11 + 64 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56751503116464.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 285760752 + ... + 285959280.

Almost surely, 2^{56751503116464} is an apocalyptic number.

56751503116464 is a gapful number since it is divisible by the number (54) 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 56751503116464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95331726816480).

56751503116464 is an abundant number, since it is smaller than the sum of its proper divisors (133911950516496).

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

56751503116464 is a wasteful number, since it uses less digits than its factorization.

56751503116464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198647 (or 198613 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 56751503116464 in words is "fifty-six trillion, seven hundred fifty-one billion, five hundred three million, one hundred sixteen thousand, four hundred sixty-four".