16872857500968 has 224 divisors, whose sum is σ = 55315706952000. Its totient is φ = 4820815857312.

The previous prime is 16872857500883. The next prime is 16872857500987. The reversal of 16872857500968 is 86900575827861.

16872857500968 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 2 + 8 + 57 + 500 + 9 + 68 = 666.

16872857500968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16872857500896 and 16872857500905.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2217046 + ... + 6217797.

Almost surely, 2^{16872857500968} is an apocalyptic number.

16872857500968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16872857500968 is an abundant number, since it is smaller than the sum of its proper divisors (38442849451032).

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

16872857500968 is an frugal number, since it uses more digits than its factorization.

16872857500968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8434888 (or 8434855 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 16872857500968 in words is "sixteen trillion, eight hundred seventy-two billion, eight hundred fifty-seven million, five hundred thousand, nine hundred sixty-eight".