5056306560 has 192 divisors, whose sum is σ = 17595966960. Its totient is φ = 1337856000.

The previous prime is 5056306523. The next prime is 5056306573. The reversal of 5056306560 is 656036505.

It is a happy number.

5056306560 is a `hidden beast` number, since 505 + 6 + 30 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751210 + ... + 757910.

Almost surely, 2^5056306560 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 5056306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8797983480).

5056306560 is an abundant number, since it is smaller than the sum of its proper divisors (12539660400).

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

5056306560 is a wasteful number, since it uses less digits than its factorization.

5056306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 5056306560 is about 71107.7109742678. The cubic root of 5056306560 is about 1716.3708589291.

The spelling of 5056306560 in words is "five billion, fifty-six million, three hundred six thousand, five hundred sixty".