16993768000 has 224 divisors, whose sum is σ = 47501251200. Its totient is φ = 5965568000.

The previous prime is 16993767983. The next prime is 16993768009. The reversal of 16993768000 is 86739961.

It is not an unprimeable number, because it can be changed into a prime (16993768009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2548671 + ... + 2555329.

Almost surely, 2^16993768000 is an apocalyptic number.

16993768000 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 16993768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23750625600).

16993768000 is an abundant number, since it is smaller than the sum of its proper divisors (30507483200).

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

16993768000 is a wasteful number, since it uses less digits than its factorization.

16993768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 16993768000 in words is "sixteen billion, nine hundred ninety-three million, seven hundred sixty-eight thousand".