125165877598080 has 4608 divisors, whose sum is σ = 552932274585600. Its totient is φ = 25887375360000.

The previous prime is 125165877597973. The next prime is 125165877598103. The reversal of 125165877598080 is 80895778561521.

125165877598080 is a `hidden beast` number, since 1 + 2 + 516 + 58 + 7 + 7 + 59 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 655318730785 + ... + 655318730975.

It is an arithmetic number, because the mean of its divisors is an integer number (119993983200).

Almost surely, 2^{125165877598080} is an apocalyptic number.

125165877598080 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 125165877598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276466137292800).

125165877598080 is an abundant number, since it is smaller than the sum of its proper divisors (427766396987520).

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

125165877598080 is a wasteful number, since it uses less digits than its factorization.

125165877598080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 72.

The spelling of 125165877598080 in words is "one hundred twenty-five trillion, one hundred sixty-five billion, eight hundred seventy-seven million, five hundred ninety-eight thousand, eighty".