125950801017024 has 392 divisors, whose sum is σ = 380707212930000. Its totient is φ = 41318997018624.

The previous prime is 125950801016983. The next prime is 125950801017061. The reversal of 125950801017024 is 420710108059521.

125950801017024 is a `hidden beast` number, since 1 + 2 + 59 + 508 + 0 + 1 + 0 + 1 + 70 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 757656987 + ... + 757823205.

Almost surely, 2^{125950801017024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125950801017024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190353606465000).

125950801017024 is an abundant number, since it is smaller than the sum of its proper divisors (254756411912976).

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

125950801017024 is a wasteful number, since it uses less digits than its factorization.

125950801017024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166507 (or 166482 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 125950801017024 in words is "one hundred twenty-five trillion, nine hundred fifty billion, eight hundred one million, seventeen thousand, twenty-four".