12809411960 has 64 divisors (see below), whose sum is σ = 29917192320. Its totient is φ = 4932495360.

The previous prime is 12809411959. The next prime is 12809412023. The reversal of 12809411960 is 6911490821.

12809411960 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 15 ways as a sum of consecutive naturals, for example, 58832 + ... + 170528.

It is an arithmetic number, because the mean of its divisors is an integer number (467456130).

Almost surely, 2^12809411960 is an apocalyptic number.

12809411960 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 12809411960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958596160).

12809411960 is an abundant number, since it is smaller than the sum of its proper divisors (17107780360).

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

12809411960 is a wasteful number, since it uses less digits than its factorization.

12809411960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111816 (or 111812 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The spelling of 12809411960 in words is "twelve billion, eight hundred nine million, four hundred eleven thousand, nine hundred sixty".