125586880 has 56 divisors (see below), whose sum is σ = 307165248. Its totient is φ = 48872448.

The previous prime is 125586847. The next prime is 125586883. The reversal of 125586880 is 88685521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125586883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6537 + ... + 17143.

Almost surely, 2^125586880 is an apocalyptic number.

125586880 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 125586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153582624).

125586880 is an abundant number, since it is smaller than the sum of its proper divisors (181578368).

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

125586880 is a wasteful number, since it uses less digits than its factorization.

125586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10661 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

The square root of 125586880 is about 11206.5552245103. Note that the first 3 decimals coincide. The cubic root of 125586880 is about 500.7812852176.

The spelling of 125586880 in words is "one hundred twenty-five million, five hundred eighty-six thousand, eight hundred eighty".