16968976000 has 128 divisors (see below), whose sum is σ = 44410392000. Its totient is φ = 6430233600.

The previous prime is 16968975997. The next prime is 16968976109. The reversal of 16968976000 is 67986961.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×16968976000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276091 + ... + 331909.

Almost surely, 2^16968976000 is an apocalyptic number.

16968976000 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 16968976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22205196000).

16968976000 is an abundant number, since it is smaller than the sum of its proper divisors (27441416000).

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

16968976000 is an equidigital number, since it uses as much as digits as its factorization.

16968976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55867 (or 55845 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 16968976000 in words is "sixteen billion, nine hundred sixty-eight million, nine hundred seventy-six thousand".