6125364116400 has 120 divisors (see below), whose sum is σ = 19622993889280. Its totient is φ = 1633312984320.

The previous prime is 6125364116329. The next prime is 6125364116413. The reversal of 6125364116400 is 46114635216.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17198529 + ... + 17551071.

Almost surely, 2^{6125364116400} is an apocalyptic number.

6125364116400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6125364116400 is an abundant number, since it is smaller than the sum of its proper divisors (13497629772880).

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

6125364116400 is a wasteful number, since it uses less digits than its factorization.

6125364116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367043 (or 367032 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 6125364116400 in words is "six trillion, one hundred twenty-five billion, three hundred sixty-four million, one hundred sixteen thousand, four hundred".