125624958480 has 1280 divisors, whose sum is σ = 570820608000. Its totient is φ = 24692097024.

The previous prime is 125624958469. The next prime is 125624958517. The reversal of 125624958480 is 84859426521.

125624958480 is a `hidden beast` number, since 1 + 2 + 5 + 624 + 9 + 5 + 8 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 141628597 + ... + 141629483.

It is an arithmetic number, because the mean of its divisors is an integer number (445953600).

Almost surely, 2^125624958480 is an apocalyptic number.

125624958480 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 125624958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285410304000).

125624958480 is an abundant number, since it is smaller than the sum of its proper divisors (445195649520).

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

125624958480 is a wasteful number, since it uses less digits than its factorization.

125624958480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 125624958480 in words is "one hundred twenty-five billion, six hundred twenty-four million, nine hundred fifty-eight thousand, four hundred eighty".