125016125760 has 280 divisors, whose sum is σ = 445861211400. Its totient is φ = 33250922496.

The previous prime is 125016125753. The next prime is 125016125777. The reversal of 125016125760 is 67521610521.

125016125760 is a `hidden beast` number, since 1 + 2 + 501 + 61 + 25 + 76 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56556449856 + 68459675904 = 237816^2 + 261648^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10284166 + ... + 10296314.

Almost surely, 2^125016125760 is an apocalyptic number.

125016125760 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 125016125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222930605700).

125016125760 is an abundant number, since it is smaller than the sum of its proper divisors (320845085640).

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

125016125760 is a wasteful number, since it uses less digits than its factorization.

125016125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12575 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 125016125760 in words is "one hundred twenty-five billion, sixteen million, one hundred twenty-five thousand, seven hundred sixty".