125907851520 has 720 divisors, whose sum is σ = 500991365952. Its totient is φ = 29932830720.

The previous prime is 125907851423. The next prime is 125907851521. The reversal of 125907851520 is 25158709521.

125907851520 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 0 + 78 + 51 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (125907851521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60444399 + ... + 60446481.

Almost surely, 2^125907851520 is an apocalyptic number.

125907851520 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 125907851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250495682976).

125907851520 is an abundant number, since it is smaller than the sum of its proper divisors (375083514432).

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

125907851520 is a wasteful number, since it uses less digits than its factorization.

125907851520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 125907851520 in words is "one hundred twenty-five billion, nine hundred seven million, eight hundred fifty-one thousand, five hundred twenty".