5129877212400 has 120 divisors (see below), whose sum is σ = 16833504555504. Its totient is φ = 1334602188800.

The previous prime is 5129877212353. The next prime is 5129877212417. The reversal of 5129877212400 is 42127789215.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5129877212400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52083699 + ... + 52182098.

Almost surely, 2^{5129877212400} is an apocalyptic number.

5129877212400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5129877212400 is an abundant number, since it is smaller than the sum of its proper divisors (11703627343104).

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

5129877212400 is a wasteful number, since it uses less digits than its factorization.

5129877212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104265859 (or 104265848 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 5129877212400 in words is "five trillion, one hundred twenty-nine billion, eight hundred seventy-seven million, two hundred twelve thousand, four hundred".