56505516560 has 40 divisors (see below), whose sum is σ = 132676090776. Its totient is φ = 22378419200.

The previous prime is 56505516553. The next prime is 56505516563. The reversal of 56505516560 is 6561550565.

56505516560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5299257616 + 51206258944 = 72796^2 + 226288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×56505516560³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56505516563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3488549 + ... + 3504708.

Almost surely, 2^56505516560 is an apocalyptic number.

It is an amenable number.

56505516560 is an abundant number, since it is smaller than the sum of its proper divisors (76170574216).

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

56505516560 is a wasteful number, since it uses less digits than its factorization.

56505516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993371 (or 6993365 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 44.

The spelling of 56505516560 in words is "fifty-six billion, five hundred five million, five hundred sixteen thousand, five hundred sixty".