56759920560 has 960 divisors, whose sum is σ = 246334233600. Its totient is φ = 11851370496.

The previous prime is 56759920543. The next prime is 56759920597. The reversal of 56759920560 is 6502995765.

It is a happy number.

56759920560 is a `hidden beast` number, since 5 + 6 + 7 + 59 + 9 + 20 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56759920497 and 56759920506.

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, 74979702 + ... + 74980458.

It is an arithmetic number, because the mean of its divisors is an integer number (256598160).

Almost surely, 2^56759920560 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 56759920560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123167116800).

56759920560 is an abundant number, since it is smaller than the sum of its proper divisors (189574313040).

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

56759920560 is a wasteful number, since it uses less digits than its factorization.

56759920560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 56759920560 in words is "fifty-six billion, seven hundred fifty-nine million, nine hundred twenty thousand, five hundred sixty".