125057410560 has 480 divisors, whose sum is σ = 453829970880. Its totient is φ = 31765561344.

The previous prime is 125057410559. The next prime is 125057410567. The reversal of 125057410560 is 65014750521.

125057410560 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 57 + 41 + 0 + 560 = 666.

125057410560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125057410567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216736992 + ... + 216737568.

It is an arithmetic number, because the mean of its divisors is an integer number (945479106).

Almost surely, 2^125057410560 is an apocalyptic number.

125057410560 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 125057410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226914985440).

125057410560 is an abundant number, since it is smaller than the sum of its proper divisors (328772560320).

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

125057410560 is a wasteful number, since it uses less digits than its factorization.

125057410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 125057410560 in words is "one hundred twenty-five billion, fifty-seven million, four hundred ten thousand, five hundred sixty".