125709179904 has 616 divisors, whose sum is σ = 469955303808. Its totient is φ = 32651735040.

The previous prime is 125709179899. The next prime is 125709179917. The reversal of 125709179904 is 409971907521.

It is a tau number, because it is divible by the number of its divisors (616).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 11428107259 + ... + 11428107269.

Almost surely, 2^125709179904 is an apocalyptic number.

125709179904 is a gapful number since it is divisible by the number (14) 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 125709179904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234977651904).

125709179904 is an abundant number, since it is smaller than the sum of its proper divisors (344246123904).

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

125709179904 is an frugal number, since it uses more digits than its factorization.

125709179904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 125709179904 in words is "one hundred twenty-five billion, seven hundred nine million, one hundred seventy-nine thousand, nine hundred four".