5106816000 has 1056 divisors, whose sum is σ = 22317474816. Its totient is φ = 1105920000.

The previous prime is 5106815981. The next prime is 5106816019. The reversal of 5106816000 is 6186015.

5106816000 is a `hidden beast` number, since 51 + 0 + 6 + 8 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5106815981) and next prime (5106816019).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164735985 + ... + 164736015.

Almost surely, 2^5106816000 is an apocalyptic number.

5106816000 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 5106816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158737408).

5106816000 is an abundant number, since it is smaller than the sum of its proper divisors (17210658816).

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

5106816000 is a wasteful number, since it uses less digits than its factorization.

5106816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5106816000 is about 71461.9898967276. The cubic root of 5106816000 is about 1722.0671019188.

The spelling of 5106816000 in words is "five billion, one hundred six million, eight hundred sixteen thousand".