125686961664000 has 832 divisors, whose sum is σ = 457018357386240. Its totient is φ = 30418698240000.

The previous prime is 125686961663999. The next prime is 125686961664049. The reversal of 125686961664000 is 466169686521.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10661370106 + ... + 10661381894.

It is an arithmetic number, because the mean of its divisors is an integer number (549300910320).

Almost surely, 2^{125686961664000} is an apocalyptic number.

125686961664000 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 125686961664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228509178693120).

125686961664000 is an abundant number, since it is smaller than the sum of its proper divisors (331331395722240).

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

125686961664000 is a wasteful number, since it uses less digits than its factorization.

125686961664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12473 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 125686961664000 in words is "one hundred twenty-five trillion, six hundred eighty-six billion, nine hundred sixty-one million, six hundred sixty-four thousand".