16890624960000 has 800 divisors, whose sum is σ = 62258980848768. Its totient is φ = 4033413120000.

The previous prime is 16890624959981. The next prime is 16890624960059. The reversal of 16890624960000 is 6942609861.

16890624960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 707508064 + ... + 707531936.

Almost surely, 2^{16890624960000} is an apocalyptic number.

16890624960000 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 16890624960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31129490424384).

16890624960000 is an abundant number, since it is smaller than the sum of its proper divisors (45368355888768).

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

16890624960000 is an equidigital number, since it uses as much as digits as its factorization.

16890624960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23992 (or 23961 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 16890624960000 in words is "sixteen trillion, eight hundred ninety billion, six hundred twenty-four million, nine hundred sixty thousand".