125991732384 has 576 divisors, whose sum is σ = 452496844800. Its totient is φ = 32457148416.

The previous prime is 125991732359. The next prime is 125991732389. The reversal of 125991732384 is 483237199521.

125991732384 is a `hidden beast` number, since 1 + 2 + 5 + 99 + 173 + 2 + 384 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 125991732384.

It is not an unprimeable number, because it can be changed into a prime (125991732389) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57819807 + ... + 57821985.

It is an arithmetic number, because the mean of its divisors is an integer number (785584800).

Almost surely, 2^125991732384 is an apocalyptic number.

125991732384 is a gapful number since it is divisible by the number (14) 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 125991732384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226248422400).

125991732384 is an abundant number, since it is smaller than the sum of its proper divisors (326505112416).

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

125991732384 is a wasteful number, since it uses less digits than its factorization.

125991732384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2286 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 125991732384 in words is "one hundred twenty-five billion, nine hundred ninety-one million, seven hundred thirty-two thousand, three hundred eighty-four".