16097668800 has 168 divisors, whose sum is σ = 53811104976. Its totient is φ = 4211650560.

The previous prime is 16097668753. The next prime is 16097668819. The reversal of 16097668800 is 886679061.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222762 + ... + 286038.

Almost surely, 2^16097668800 is an apocalyptic number.

16097668800 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 16097668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26905552488).

16097668800 is an abundant number, since it is smaller than the sum of its proper divisors (37713436176).

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

16097668800 is a wasteful number, since it uses less digits than its factorization.

16097668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63355 (or 63340 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 16097668800 in words is "sixteen billion, ninety-seven million, six hundred sixty-eight thousand, eight hundred".