16809297120 has 576 divisors, whose sum is σ = 74669817600. Its totient is φ = 3492357120.

The previous prime is 16809297103. The next prime is 16809297143. The reversal of 16809297120 is 2179290861.

16809297120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 2324871 + ... + 2332089.

It is an arithmetic number, because the mean of its divisors is an integer number (129635100).

Almost surely, 2^16809297120 is an apocalyptic number.

16809297120 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 16809297120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37334908800).

16809297120 is an abundant number, since it is smaller than the sum of its proper divisors (57860520480).

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

16809297120 is a wasteful number, since it uses less digits than its factorization.

16809297120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7268 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 16809297120 in words is "sixteen billion, eight hundred nine million, two hundred ninety-seven thousand, one hundred twenty".