12832160576 has 56 divisors (see below), whose sum is σ = 25854111360. Its totient is φ = 6317964800.

The previous prime is 12832160543. The next prime is 12832160633. The reversal of 12832160576 is 67506123821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5992466 + ... + 5994606.

It is an arithmetic number, because the mean of its divisors is an integer number (461680560).

Almost surely, 2^12832160576 is an apocalyptic number.

12832160576 is a gapful number since it is divisible by the number (16) 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 12832160576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927055680).

12832160576 is an abundant number, since it is smaller than the sum of its proper divisors (13021950784).

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

12832160576 is a wasteful number, since it uses less digits than its factorization.

12832160576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 12832160576 in words is "twelve billion, eight hundred thirty-two million, one hundred sixty thousand, five hundred seventy-six".