56508075360 has 576 divisors, whose sum is σ = 224114252544. Its totient is φ = 13324953600.

The previous prime is 56508075359. The next prime is 56508075439. The reversal of 56508075360 is 6357080565.

56508075360 is a `hidden beast` number, since 565 + 0 + 80 + 7 + 5 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15822375 + ... + 15825945.

It is an arithmetic number, because the mean of its divisors is an integer number (389087244).

Almost surely, 2^56508075360 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 56508075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112057126272).

56508075360 is an abundant number, since it is smaller than the sum of its proper divisors (167606177184).

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

56508075360 is a wasteful number, since it uses less digits than its factorization.

56508075360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 56508075360 in words is "fifty-six billion, five hundred eight million, seventy-five thousand, three hundred sixty".