125888493983616 has 2048 divisors, whose sum is σ = 512755729920000. Its totient is φ = 29599653298176.

The previous prime is 125888493983587. The next prime is 125888493983639. The reversal of 125888493983616 is 616389394888521.

125888493983616 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 8 + 8 + 493 + 98 + 36 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17167389486 + ... + 17167396818.

It is an arithmetic number, because the mean of its divisors is an integer number (250369008750).

Almost surely, 2^{125888493983616} is an apocalyptic number.

125888493983616 is a gapful number since it is divisible by the number (16) 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 125888493983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256377864960000).

125888493983616 is an abundant number, since it is smaller than the sum of its proper divisors (386867235936384).

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

125888493983616 is a wasteful number, since it uses less digits than its factorization.

125888493983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7438 (or 7394 counting only the distinct ones).

The product of its digits is 4299816960, while the sum is 81.

The spelling of 125888493983616 in words is "one hundred twenty-five trillion, eight hundred eighty-eight billion, four hundred ninety-three million, nine hundred eighty-three thousand, six hundred sixteen".