125059674539008 has 528 divisors, whose sum is σ = 295592973096960. Its totient is φ = 52679251722240.

The previous prime is 125059674538979. The next prime is 125059674539017. The reversal of 125059674539008 is 800935476950521.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 47787417316 + ... + 47787419932.

It is an arithmetic number, because the mean of its divisors is an integer number (559835176320).

It is a 2-persistent number, because it is pandigital, and so is 2⋅125059674539008 = 250119349078016, but 3⋅125059674539008 = 375179023617024 is not.

Almost surely, 2^{125059674539008} 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 125059674539008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147796486548480).

125059674539008 is an abundant number, since it is smaller than the sum of its proper divisors (170533298557952).

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

125059674539008 is a wasteful number, since it uses less digits than its factorization.

125059674539008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 64.

The spelling of 125059674539008 in words is "one hundred twenty-five trillion, fifty-nine billion, six hundred seventy-four million, five hundred thirty-nine thousand, eight".