16838097160 has 128 divisors (see below), whose sum is σ = 41395536000. Its totient is φ = 6139736064.

The previous prime is 16838097137. The next prime is 16838097173. The reversal of 16838097160 is 6179083861.

16838097160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7426347 + ... + 7428613.

It is an arithmetic number, because the mean of its divisors is an integer number (323402625).

Almost surely, 2^16838097160 is an apocalyptic number.

16838097160 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 16838097160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20697768000).

16838097160 is an abundant number, since it is smaller than the sum of its proper divisors (24557438840).

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

16838097160 is a wasteful number, since it uses less digits than its factorization.

16838097160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 16838097160 in words is "sixteen billion, eight hundred thirty-eight million, ninety-seven thousand, one hundred sixty".