125660340092160 has 864 divisors, whose sum is σ = 466956726792192. Its totient is φ = 32334268538880.

The previous prime is 125660340092029. The next prime is 125660340092179. The reversal of 125660340092160 is 61290043066521.

125660340092160 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 60 + 340 + 0 + 92 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1037879947 + ... + 1038001013.

It is an arithmetic number, because the mean of its divisors is an integer number (540459174528).

Almost surely, 2^{125660340092160} is an apocalyptic number.

125660340092160 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 125660340092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233478363396096).

125660340092160 is an abundant number, since it is smaller than the sum of its proper divisors (341296386700032).

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

125660340092160 is an equidigital number, since it uses as much as digits as its factorization.

125660340092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121221 (or 121195 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 125660340092160 in words is "one hundred twenty-five trillion, six hundred sixty billion, three hundred forty million, ninety-two thousand, one hundred sixty".