125899982208 has 960 divisors, whose sum is σ = 512340610320. Its totient is φ = 30168391680.

The previous prime is 125899982191. The next prime is 125899982231. The reversal of 125899982208 is 802289998521.

125899982208 is a `hidden beast` number, since 1 + 258 + 99 + 98 + 2 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72647710 + ... + 72649442.

Almost surely, 2^125899982208 is an apocalyptic number.

125899982208 is a gapful number since it is divisible by the number (18) 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 125899982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256170305160).

125899982208 is an abundant number, since it is smaller than the sum of its proper divisors (386440628112).

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

125899982208 is a wasteful number, since it uses less digits than its factorization.

125899982208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 125899982208 in words is "one hundred twenty-five billion, eight hundred ninety-nine million, nine hundred eighty-two thousand, two hundred eight".