5056509565600 has 144 divisors (see below), whose sum is σ = 13310824927680. Its totient is φ = 1869415372800.

The previous prime is 5056509565553. The next prime is 5056509565607. The reversal of 5056509565600 is 65659056505.

It is not an unprimeable number, because it can be changed into a prime (5056509565607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3433692 + ... + 4680091.

It is an arithmetic number, because the mean of its divisors is an integer number (92436284220).

Almost surely, 2^{5056509565600} is an apocalyptic number.

5056509565600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5056509565600 is an abundant number, since it is smaller than the sum of its proper divisors (8254315362080).

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

5056509565600 is a wasteful number, since it uses less digits than its factorization.

5056509565600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113863 (or 8113850 counting only the distinct ones).

The product of its (nonzero) digits is 6075000, while the sum is 52.

The spelling of 5056509565600 in words is "five trillion, fifty-six billion, five hundred nine million, five hundred sixty-five thousand, six hundred".