16000968800 has 72 divisors (see below), whose sum is σ = 39360808872. Its totient is φ = 6351488000.

The previous prime is 16000968791. The next prime is 16000968821. The reversal of 16000968800 is 886900061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28460 + ... + 181140.

It is an arithmetic number, because the mean of its divisors is an integer number (546677901).

Almost surely, 2^16000968800 is an apocalyptic number.

16000968800 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 16000968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19680404436).

16000968800 is an abundant number, since it is smaller than the sum of its proper divisors (23359840072).

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

16000968800 is a wasteful number, since it uses less digits than its factorization.

16000968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152832 (or 152819 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 16000968800 in words is "sixteen billion, nine hundred sixty-eight thousand, eight hundred".