125862899798016 has 416 divisors, whose sum is σ = 392609177216000. Its totient is φ = 39735826808832.

The previous prime is 125862899798003. The next prime is 125862899798087. The reversal of 125862899798016 is 610897998268521.

125862899798016 is a `hidden beast` number, since 1 + 2 + 586 + 28 + 9 + 9 + 7 + 9 + 8 + 0 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14336810715 + ... + 14336819493.

Almost surely, 2^{125862899798016} is an apocalyptic number.

125862899798016 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 125862899798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196304588608000).

125862899798016 is an abundant number, since it is smaller than the sum of its proper divisors (266746277417984).

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

125862899798016 is an equidigital number, since it uses as much as digits as its factorization.

125862899798016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15654 (or 15626 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 81.

The spelling of 125862899798016 in words is "one hundred twenty-five trillion, eight hundred sixty-two billion, eight hundred ninety-nine million, seven hundred ninety-eight thousand, sixteen".