17984116920 has 256 divisors, whose sum is σ = 67383705600. Its totient is φ = 3730383360.

The previous prime is 17984116867. The next prime is 17984116937. The reversal of 17984116920 is 2961148971.

It is a super-2 number, since 2×17984116920² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 17984116920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6642207 + ... + 6644913.

It is an arithmetic number, because the mean of its divisors is an integer number (263217600).

Almost surely, 2^17984116920 is an apocalyptic number.

17984116920 is a gapful number since it is divisible by the number (10) 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 17984116920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33691852800).

17984116920 is an abundant number, since it is smaller than the sum of its proper divisors (49399588680).

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

17984116920 is a wasteful number, since it uses less digits than its factorization.

17984116920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 17984116920 in words is "seventeen billion, nine hundred eighty-four million, one hundred sixteen thousand, nine hundred twenty".