125890232832 has 1280 divisors, whose sum is σ = 505967616000. Its totient is φ = 29955391488.

The previous prime is 125890232789. The next prime is 125890232861. The reversal of 125890232832 is 238232098521.

125890232832 is a `hidden beast` number, since 1 + 2 + 589 + 0 + 2 + 32 + 8 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 549738894 + ... + 549739122.

It is an arithmetic number, because the mean of its divisors is an integer number (395287200).

Almost surely, 2^125890232832 is an apocalyptic number.

125890232832 is a gapful number since it is divisible by the number (12) 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 125890232832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252983808000).

125890232832 is an abundant number, since it is smaller than the sum of its proper divisors (380077383168).

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

125890232832 is a wasteful number, since it uses less digits than its factorization.

125890232832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 125890232832 in words is "one hundred twenty-five billion, eight hundred ninety million, two hundred thirty-two thousand, eight hundred thirty-two".