125624517006560 has 192 divisors, whose sum is σ = 352591611906240. Its totient is φ = 41693875322880.

The previous prime is 125624517006559. The next prime is 125624517006619. The reversal of 125624517006560 is 65600715426521.

It is a junction number, because it is equal to n+sod(n) for n = 125624517006499 and 125624517006508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28809647 + ... + 32882286.

It is an arithmetic number, because the mean of its divisors is an integer number (1836414645345).

Almost surely, 2^{125624517006560} is an apocalyptic number.

125624517006560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125624517006560 is an abundant number, since it is smaller than the sum of its proper divisors (226967094899680).

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

125624517006560 is a wasteful number, since it uses less digits than its factorization.

125624517006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61692061 (or 61692053 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 125624517006560 in words is "one hundred twenty-five trillion, six hundred twenty-four billion, five hundred seventeen million, six thousand, five hundred sixty".