125676430880 has 432 divisors, whose sum is σ = 408044697984. Its totient is φ = 36154460160.

The previous prime is 125676430843. The next prime is 125676430909. The reversal of 125676430880 is 88034676521.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14570249 + ... + 14578871.

It is an arithmetic number, because the mean of its divisors is an integer number (944547912).

Almost surely, 2^125676430880 is an apocalyptic number.

125676430880 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 125676430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204022348992).

125676430880 is an abundant number, since it is smaller than the sum of its proper divisors (282368267104).

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

125676430880 is a wasteful number, since it uses less digits than its factorization.

125676430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8689 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 125676430880 in words is "one hundred twenty-five billion, six hundred seventy-six million, four hundred thirty thousand, eight hundred eighty".