125994707169408 has 3840 divisors, whose sum is σ = 511702400563200. Its totient is φ = 30046045962240.

The previous prime is 125994707169377. The next prime is 125994707169437. The reversal of 125994707169408 is 804961707499521.

125994707169408 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 94 + 7 + 0 + 71 + 69 + 408 = 666.

It is a super-2 number, since 2×125994707169408² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 772973663535 + ... + 772973663697.

It is an arithmetic number, because the mean of its divisors is an integer number (133255833480).

Almost surely, 2^{125994707169408} is an apocalyptic number.

125994707169408 is a gapful number since it is divisible by the number (18) 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 125994707169408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255851200281600).

125994707169408 is an abundant number, since it is smaller than the sum of its proper divisors (385707693393792).

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

125994707169408 is a wasteful number, since it uses less digits than its factorization.

125994707169408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 125994707169408 in words is "one hundred twenty-five trillion, nine hundred ninety-four billion, seven hundred seven million, one hundred sixty-nine thousand, four hundred eight".