125350986600 has 216 divisors, whose sum is σ = 489700601910. Its totient is φ = 28651633920.

The previous prime is 125350986581. The next prime is 125350986637. The reversal of 125350986600 is 6689053521.

125350986600 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 509 + 86 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 109506722724 + 15844263876 = 330918^2 + 125874^2 .

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 53 ways as a sum of consecutive naturals, for example, 622407 + ... + 798806.

Almost surely, 2^125350986600 is an apocalyptic number.

125350986600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125350986600 is an abundant number, since it is smaller than the sum of its proper divisors (364349615310).

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

125350986600 is a wasteful number, since it uses less digits than its factorization.

125350986600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421249 (or 1421230 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 125350986600 in words is "one hundred twenty-five billion, three hundred fifty million, nine hundred eighty-six thousand, six hundred".