125700295680 has 396 divisors, whose sum is σ = 462724841280. Its totient is φ = 31544967168.

The previous prime is 125700295613. The next prime is 125700295691. The reversal of 125700295680 is 86592007521.

125700295680 is a `hidden beast` number, since 1 + 2 + 570 + 0 + 29 + 56 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13312401 + ... + 13321839.

Almost surely, 2^125700295680 is an apocalyptic number.

125700295680 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 125700295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231362420640).

125700295680 is an abundant number, since it is smaller than the sum of its proper divisors (337024545600).

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

125700295680 is a wasteful number, since it uses less digits than its factorization.

125700295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9504 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 125700295680 in words is "one hundred twenty-five billion, seven hundred million, two hundred ninety-five thousand, six hundred eighty".