5159116800 has 420 divisors, whose sum is σ = 19173221496. Its totient is φ = 1371340800.

The previous prime is 5159116789. The next prime is 5159116811. The reversal of 5159116800 is 86119515.

5159116800 is a `hidden beast` number, since 5 + 1 + 591 + 1 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5159116789) and next prime (5159116811).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588645 + ... + 16588955.

Almost surely, 2^5159116800 is an apocalyptic number.

5159116800 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 5159116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9586610748).

5159116800 is an abundant number, since it is smaller than the sum of its proper divisors (14014104696).

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

5159116800 is an equidigital number, since it uses as much as digits as its factorization.

5159116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 5159116800 is about 71826.9921408380. The cubic root of 5159116800 is about 1727.9259227504.

The spelling of 5159116800 in words is "five billion, one hundred fifty-nine million, one hundred sixteen thousand, eight hundred".