16890253840512 has 640 divisors, whose sum is σ = 57219230006400. Its totient is φ = 4902866288640.

The previous prime is 16890253840489. The next prime is 16890253840519. The reversal of 16890253840512 is 21504835209861.

16890253840512 is a `hidden beast` number, since 1 + 6 + 8 + 90 + 2 + 5 + 38 + 4 + 0 + 512 = 666.

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 (16890253840519) 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 79 ways as a sum of consecutive naturals, for example, 617162253 + ... + 617189619.

It is an arithmetic number, because the mean of its divisors is an integer number (89405046885).

Almost surely, 2^{16890253840512} is an apocalyptic number.

16890253840512 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 16890253840512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28609615003200).

16890253840512 is an abundant number, since it is smaller than the sum of its proper divisors (40328976165888).

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

16890253840512 is a wasteful number, since it uses less digits than its factorization.

16890253840512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27666 (or 27645 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 16890253840512 in words is "sixteen trillion, eight hundred ninety billion, two hundred fifty-three million, eight hundred forty thousand, five hundred twelve".