125060455296 has 288 divisors, whose sum is σ = 419267568720. Its totient is φ = 35051028480.

The previous prime is 125060455271. The next prime is 125060455327. The reversal of 125060455296 is 692554060521.

125060455296 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 6 + 0 + 4 + 552 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22649016 + ... + 22654536.

Almost surely, 2^125060455296 is an apocalyptic number.

125060455296 is a gapful number since it is divisible by the number (16) 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 125060455296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209633784360).

125060455296 is an abundant number, since it is smaller than the sum of its proper divisors (294207113424).

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

125060455296 is an equidigital number, since it uses as much as digits as its factorization.

125060455296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 125060455296 in words is "one hundred twenty-five billion, sixty million, four hundred fifty-five thousand, two hundred ninety-six".