16872910898688 has 240 divisors, whose sum is σ = 52819545738960. Its totient is φ = 5154312241152.

The previous prime is 16872910898681. The next prime is 16872910898717. The reversal of 16872910898688 is 88689801927861.

16872910898688 is a `hidden beast` number, since 168 + 7 + 291 + 0 + 8 + 98 + 6 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16872910898681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7313470 + ... + 9339842.

It is an arithmetic number, because the mean of its divisors is an integer number (220081440579).

Almost surely, 2^{16872910898688} is an apocalyptic number.

16872910898688 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 16872910898688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26409772869480).

16872910898688 is an abundant number, since it is smaller than the sum of its proper divisors (35946634840272).

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

16872910898688 is a wasteful number, since it uses less digits than its factorization.

16872910898688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026549 (or 2026530 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 81.

The spelling of 16872910898688 in words is "sixteen trillion, eight hundred seventy-two billion, nine hundred ten million, eight hundred ninety-eight thousand, six hundred eighty-eight".