125957691360 has 192 divisors, whose sum is σ = 450232473600. Its totient is φ = 32874011136.

The previous prime is 125957691341. The next prime is 125957691383. The reversal of 125957691360 is 63196759521.

125957691360 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 576 + 9 + 1 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 125957691297 and 125957691306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107140 + ... + 513219.

It is an arithmetic number, because the mean of its divisors is an integer number (2344960800).

Almost surely, 2^125957691360 is an apocalyptic number.

125957691360 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 125957691360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225116236800).

125957691360 is an abundant number, since it is smaller than the sum of its proper divisors (324274782240).

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

125957691360 is a wasteful number, since it uses less digits than its factorization.

125957691360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620430 (or 620416 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 125957691360 in words is "one hundred twenty-five billion, nine hundred fifty-seven million, six hundred ninety-one thousand, three hundred sixty".