5100117512800 has 72 divisors (see below), whose sum is σ = 12454965315576. Its totient is φ = 2039341885440.

The previous prime is 5100117512759. The next prime is 5100117512849. The reversal of 5100117512800 is 82157110015.

It is a super-2 number, since 2×5100117512800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1217299 + ... + 3417901.

It is an arithmetic number, because the mean of its divisors is an integer number (172985629383).

Almost surely, 2^{5100117512800} is an apocalyptic number.

5100117512800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5100117512800 is an abundant number, since it is smaller than the sum of its proper divisors (7354847802776).

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

5100117512800 is a wasteful number, since it uses less digits than its factorization.

5100117512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203520 (or 2203507 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 31.

The spelling of 5100117512800 in words is "five trillion, one hundred billion, one hundred seventeen million, five hundred twelve thousand, eight hundred".