16997568000 has 320 divisors, whose sum is σ = 64591008768. Its totient is φ = 3884851200.

The previous prime is 16997567969. The next prime is 16997568011. The reversal of 16997568000 is 86579961.

It is a tau number, because it is divible by the number of its divisors (320).

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, 1337677 + ... + 1350323.

Almost surely, 2^16997568000 is an apocalyptic number.

16997568000 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 16997568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32295504384).

16997568000 is an abundant number, since it is smaller than the sum of its proper divisors (47593440768).

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

16997568000 is an equidigital number, since it uses as much as digits as its factorization.

16997568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12690 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 16997568000 in words is "sixteen billion, nine hundred ninety-seven million, five hundred sixty-eight thousand".