5057056368 has 960 divisors, whose sum is σ = 20518686720. Its totient is φ = 1175150592.

The previous prime is 5057056357. The next prime is 5057056379. The reversal of 5057056368 is 8636507505.

5057056368 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 0 + 5 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5057056357) and next prime (5057056379).

It is a congruent number.

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, 107596921 + ... + 107596967.

It is an arithmetic number, because the mean of its divisors is an integer number (21373632).

Almost surely, 2^5057056368 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 5057056368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10259343360).

5057056368 is an abundant number, since it is smaller than the sum of its proper divisors (15461630352).

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

5057056368 is a wasteful number, since it uses less digits than its factorization.

5057056368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

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

The square root of 5057056368 is about 71112.9831184152. The cubic root of 5057056368 is about 1716.4556958864.

The spelling of 5057056368 in words is "five billion, fifty-seven million, fifty-six thousand, three hundred sixty-eight".