125651427488160 has 384 divisors, whose sum is σ = 487990550121984. Its totient is φ = 26520877793280.

The previous prime is 125651427488123. The next prime is 125651427488161. The reversal of 125651427488160 is 61884724156521.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 125651427488094 and 125651427488103.

It is not an unprimeable number, because it can be changed into a prime (125651427488161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17725281 + ... + 23780000.

It is an arithmetic number, because the mean of its divisors is an integer number (1270808724276).

Almost surely, 2^{125651427488160} is an apocalyptic number.

125651427488160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125651427488160 is an abundant number, since it is smaller than the sum of its proper divisors (362339122633824).

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

125651427488160 is a wasteful number, since it uses less digits than its factorization.

125651427488160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41505376 (or 41505368 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 125651427488160 in words is "one hundred twenty-five trillion, six hundred fifty-one billion, four hundred twenty-seven million, four hundred eighty-eight thousand, one hundred sixty".