16823806272 has 560 divisors, whose sum is σ = 64644666240. Its totient is φ = 4201279488.

The previous prime is 16823806261. The next prime is 16823806289. The reversal of 16823806272 is 27260832861.

16823806272 is a `hidden beast` number, since 16 + 8 + 2 + 3 + 8 + 0 + 627 + 2 = 666.

16823806272 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 79 ways as a sum of consecutive naturals, for example, 8962198 + ... + 8964074.

It is an arithmetic number, because the mean of its divisors is an integer number (115436904).

Almost surely, 2^16823806272 is an apocalyptic number.

16823806272 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 16823806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32322333120).

16823806272 is an abundant number, since it is smaller than the sum of its proper divisors (47820859968).

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

16823806272 is a wasteful number, since it uses less digits than its factorization.

16823806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16823806272 in words is "sixteen billion, eight hundred twenty-three million, eight hundred six thousand, two hundred seventy-two".