5076172800 has 630 divisors, whose sum is σ = 19984396698. Its totient is φ = 1274019840.

The previous prime is 5076172799. The next prime is 5076172859. The reversal of 5076172800 is 82716705.

5076172800 is a `hidden beast` number, since 507 + 6 + 1 + 72 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 764411904 + 4311760896 = 27648^2 + 65664^2 .

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 298598392 + ... + 298598408.

Almost surely, 2^5076172800 is an apocalyptic number.

5076172800 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 5076172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9992198349).

5076172800 is an abundant number, since it is smaller than the sum of its proper divisors (14908223898).

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

5076172800 is an frugal number, since it uses more digits than its factorization.

5076172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5076172800 is about 71247.2652106732. The cubic root of 5076172800 is about 1718.6157963754.

The spelling of 5076172800 in words is "five billion, seventy-six million, one hundred seventy-two thousand, eight hundred".