16800589074432 has 416 divisors, whose sum is σ = 47421554667520. Its totient is φ = 5281767751680.

The previous prime is 16800589074413. The next prime is 16800589074439. The reversal of 16800589074432 is 23447098500861.

It is a happy number.

It is a super-2 number, since 2×16800589074432² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16800589074439) by changing a digit.

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, 10139159748 + ... + 10139161404.

It is a 1-persistent number, because it is pandigital, but 2⋅16800589074432 = 33601178148864 is not.

Almost surely, 2^{16800589074432} is an apocalyptic number.

16800589074432 is a gapful number since it is divisible by the number (12) 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 16800589074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710777333760).

16800589074432 is an abundant number, since it is smaller than the sum of its proper divisors (30620965593088).

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

16800589074432 is a wasteful number, since it uses less digits than its factorization.

16800589074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 16800589074432 in words is "sixteen trillion, eight hundred billion, five hundred eighty-nine million, seventy-four thousand, four hundred thirty-two".