125170857504 has 864 divisors, whose sum is σ = 470941091712. Its totient is φ = 31159296000.

The previous prime is 125170857403. The next prime is 125170857527. The reversal of 125170857504 is 405758071521.

125170857504 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 70 + 8 + 575 + 0 + 4 = 666.

It is a super-2 number, since 2×125170857504² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125170857504.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 451880214 + ... + 451880490.

It is an arithmetic number, because the mean of its divisors is an integer number (545070708).

Almost surely, 2^125170857504 is an apocalyptic number.

125170857504 is a gapful number since it is divisible by the number (14) 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 125170857504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235470545856).

125170857504 is an abundant number, since it is smaller than the sum of its proper divisors (345770234208).

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

125170857504 is a wasteful number, since it uses less digits than its factorization.

125170857504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 125170857504 in words is "one hundred twenty-five billion, one hundred seventy million, eight hundred fifty-seven thousand, five hundred four".