125597122560 has 1140 divisors, whose sum is σ = 557245777968. Its totient is φ = 26499612672.

The previous prime is 125597122559. The next prime is 125597122577. The reversal of 125597122560 is 65221795521.

125597122560 is a `hidden beast` number, since 1 + 2 + 5 + 597 + 1 + 2 + 2 + 56 + 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 59 ways as a sum of consecutive naturals, for example, 9661317114 + ... + 9661317126.

Almost surely, 2^125597122560 is an apocalyptic number.

125597122560 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 125597122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278622888984).

125597122560 is an abundant number, since it is smaller than the sum of its proper divisors (431648655408).

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

125597122560 is an frugal number, since it uses more digits than its factorization.

125597122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 125597122560 in words is "one hundred twenty-five billion, five hundred ninety-seven million, one hundred twenty-two thousand, five hundred sixty".