5057879400 has 576 divisors, whose sum is σ = 20947230720. Its totient is φ = 1068249600.

The previous prime is 5057879353. The next prime is 5057879417. The reversal of 5057879400 is 49787505.

5057879400 is a `hidden beast` number, since 5 + 0 + 578 + 79 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8983519 + ... + 8984081.

It is an arithmetic number, because the mean of its divisors is an integer number (36366720).

Almost surely, 2^5057879400 is an apocalyptic number.

5057879400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5057879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473615360).

5057879400 is an abundant number, since it is smaller than the sum of its proper divisors (15889351320).

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

5057879400 is a wasteful number, since it uses less digits than its factorization.

5057879400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5057879400 is about 71118.7696743975. The cubic root of 5057879400 is about 1716.5488081128.

The spelling of 5057879400 in words is "five billion, fifty-seven million, eight hundred seventy-nine thousand, four hundred".