16589890368 has 224 divisors, whose sum is σ = 52417065600. Its totient is φ = 5126381568.

The previous prime is 16589890349. The next prime is 16589890379. The reversal of 16589890368 is 86309898561.

16589890368 is a `hidden beast` number, since 16 + 589 + 8 + 9 + 0 + 36 + 8 = 666.

16589890368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1963978 + ... + 1972406.

Almost surely, 2^16589890368 is an apocalyptic number.

16589890368 is a gapful number since it is divisible by the number (18) 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 16589890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208532800).

16589890368 is an abundant number, since it is smaller than the sum of its proper divisors (35827175232).

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

16589890368 is a wasteful number, since it uses less digits than its factorization.

16589890368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 16589890368 in words is "sixteen billion, five hundred eighty-nine million, eight hundred ninety thousand, three hundred sixty-eight".