125868363390720 has 432 divisors, whose sum is σ = 438448295480832. Its totient is φ = 33337179832320.

The previous prime is 125868363390719. The next prime is 125868363390739. The reversal of 125868363390720 is 27093363868521.

It is a happy number.

125868363390720 is a `hidden beast` number, since 1 + 25 + 86 + 83 + 6 + 3 + 390 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4762135905 + ... + 4762162335.

Almost surely, 2^{125868363390720} is an apocalyptic number.

125868363390720 is a gapful number since it is divisible by the number (10) 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 125868363390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219224147740416).

125868363390720 is an abundant number, since it is smaller than the sum of its proper divisors (312579932090112).

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

125868363390720 is a wasteful number, since it uses less digits than its factorization.

125868363390720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29248 (or 29231 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 125868363390720 in words is "one hundred twenty-five trillion, eight hundred sixty-eight billion, three hundred sixty-three million, three hundred ninety thousand, seven hundred twenty".