56880354960 has 960 divisors, whose sum is σ = 235856904192. Its totient is φ = 12096000000.

The previous prime is 56880354959. The next prime is 56880354989. The reversal of 56880354960 is 6945308865.

It is a happy number.

56880354960 is a `hidden beast` number, since 568 + 8 + 0 + 35 + 49 + 6 + 0 = 666.

56880354960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×56880354960³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56880354897 and 56880354906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226614835 + ... + 226615085.

Almost surely, 2^56880354960 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 56880354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117928452096).

56880354960 is an abundant number, since it is smaller than the sum of its proper divisors (178976549232).

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

56880354960 is a wasteful number, since it uses less digits than its factorization.

56880354960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 387 counting only the distinct ones).

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

The spelling of 56880354960 in words is "fifty-six billion, eight hundred eighty million, three hundred fifty-four thousand, nine hundred sixty".