125808900572160 has 1232 divisors, whose sum is σ = 503015413662720. Its totient is φ = 29969007575040.

The previous prime is 125808900572141. The next prime is 125808900572183. The reversal of 125808900572160 is 61275009808521.

125808900572160 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 0 + 8 + 9 + 0 + 0 + 572 + 1 + 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 = 125808900572097 and 125808900572106.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1504147621 + ... + 1504231259.

Almost surely, 2^{125808900572160} is an apocalyptic number.

125808900572160 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 125808900572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251507706831360).

125808900572160 is an abundant number, since it is smaller than the sum of its proper divisors (377206513090560).

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

125808900572160 is an equidigital number, since it uses as much as digits as its factorization.

125808900572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83726 (or 83693 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 125808900572160 in words is "one hundred twenty-five trillion, eight hundred eight billion, nine hundred million, five hundred seventy-two thousand, one hundred sixty".