125694838080 has 672 divisors, whose sum is σ = 517848274944. Its totient is φ = 27360571392.

The previous prime is 125694838013. The next prime is 125694838109. The reversal of 125694838080 is 80838496521.

125694838080 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 9 + 483 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142349319 + ... + 142350201.

It is an arithmetic number, because the mean of its divisors is an integer number (770607552).

Almost surely, 2^125694838080 is an apocalyptic number.

125694838080 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 125694838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258924137472).

125694838080 is an abundant number, since it is smaller than the sum of its proper divisors (392153436864).

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

125694838080 is a wasteful number, since it uses less digits than its factorization.

125694838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 125694838080 in words is "one hundred twenty-five billion, six hundred ninety-four million, eight hundred thirty-eight thousand, eighty".