125350460928 has 480 divisors, whose sum is σ = 470891646720. Its totient is φ = 32556625920.

The previous prime is 125350460887. The next prime is 125350460947. The reversal of 125350460928 is 829064053521.

125350460928 is a `hidden beast` number, since 1 + 2 + 5 + 35 + 0 + 4 + 609 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7442725 + ... + 7459547.

It is an arithmetic number, because the mean of its divisors is an integer number (981024264).

Almost surely, 2^125350460928 is an apocalyptic number.

125350460928 is a gapful number since it is divisible by the number (18) 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 125350460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235445823360).

125350460928 is an abundant number, since it is smaller than the sum of its proper divisors (345541185792).

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

125350460928 is a wasteful number, since it uses less digits than its factorization.

125350460928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16875 (or 16846 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 125350460928 in words is "one hundred twenty-five billion, three hundred fifty million, four hundred sixty thousand, nine hundred twenty-eight".