5116816800 has 216 divisors, whose sum is σ = 18314202816. Its totient is φ = 1343992320.

The previous prime is 5116816759. The next prime is 5116816829. The reversal of 5116816800 is 86186115.

5116816800 is a `hidden beast` number, since 511 + 6 + 81 + 68 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 477097 + ... + 487703.

It is an arithmetic number, because the mean of its divisors is an integer number (84787976).

Almost surely, 2^5116816800 is an apocalyptic number.

5116816800 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 5116816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9157101408).

5116816800 is an abundant number, since it is smaller than the sum of its proper divisors (13197386016).

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

5116816800 is a wasteful number, since it uses less digits than its factorization.

5116816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10700 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 5116816800 is about 71531.9285354449. The cubic root of 5116816800 is about 1723.1904906586.

The spelling of 5116816800 in words is "five billion, one hundred sixteen million, eight hundred sixteen thousand, eight hundred".