16689628800 has 864 divisors, whose sum is σ = 67400686080. Its totient is φ = 4075868160.

The previous prime is 16689628783. The next prime is 16689628801. The reversal of 16689628800 is 882698661.

It is a happy number.

16689628800 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 9 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16689628801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 131414337 + ... + 131414463.

Almost surely, 2^16689628800 is an apocalyptic number.

16689628800 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 16689628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33700343040).

16689628800 is an abundant number, since it is smaller than the sum of its proper divisors (50711057280).

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

16689628800 is a wasteful number, since it uses less digits than its factorization.

16689628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 16689628800 in words is "sixteen billion, six hundred eighty-nine million, six hundred twenty-eight thousand, eight hundred".