16981668813120 has 224 divisors, whose sum is σ = 58825643852160. Its totient is φ = 4116255989760.

The previous prime is 16981668813089. The next prime is 16981668813139. The reversal of 16981668813120 is 2131886618961.

16981668813120 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 (60).

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, 88491994 + ... + 88683686.

Almost surely, 2^{16981668813120} is an apocalyptic number.

16981668813120 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 16981668813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29412821926080).

16981668813120 is an abundant number, since it is smaller than the sum of its proper divisors (41843975039040).

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

16981668813120 is a wasteful number, since it uses less digits than its factorization.

16981668813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200113 (or 200103 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 16981668813120 in words is "sixteen trillion, nine hundred eighty-one billion, six hundred sixty-eight million, eight hundred thirteen thousand, one hundred twenty".