12832790568 has 192 divisors, whose sum is σ = 36530196480. Its totient is φ = 3747744000.

The previous prime is 12832790567. The next prime is 12832790587. The reversal of 12832790568 is 86509723821.

12832790568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12832790568.

It is not an unprimeable number, because it can be changed into a prime (12832790567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14086033 + ... + 14086943.

It is an arithmetic number, because the mean of its divisors is an integer number (190261440).

Almost surely, 2^12832790568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12832790568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18265098240).

12832790568 is an abundant number, since it is smaller than the sum of its proper divisors (23697405912).

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

12832790568 is a wasteful number, since it uses less digits than its factorization.

12832790568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 12832790568 in words is "twelve billion, eight hundred thirty-two million, seven hundred ninety thousand, five hundred sixty-eight".