56512878720 has 128 divisors (see below), whose sum is σ = 180239826240. Its totient is φ = 15061315584.

The previous prime is 56512878707. The next prime is 56512878739. The reversal of 56512878720 is 2787821565.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×56512878720² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3703747 + ... + 3718973.

Almost surely, 2^56512878720 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 56512878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90119913120).

56512878720 is an abundant number, since it is smaller than the sum of its proper divisors (123726947520).

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

56512878720 is a wasteful number, since it uses less digits than its factorization.

56512878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17182 (or 17170 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The spelling of 56512878720 in words is "fifty-six billion, five hundred twelve million, eight hundred seventy-eight thousand, seven hundred twenty".