12802569472 has 432 divisors, whose sum is σ = 34762258944. Its totient is φ = 4644864000.

The previous prime is 12802569469. The next prime is 12802569487. The reversal of 12802569472 is 27496520821.

12802569472 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 47 ways as a sum of consecutive naturals, for example, 175377628 + ... + 175377700.

It is an arithmetic number, because the mean of its divisors is an integer number (80468192).

Almost surely, 2^12802569472 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 12802569472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17381129472).

12802569472 is an abundant number, since it is smaller than the sum of its proper divisors (21959689472).

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

12802569472 is a wasteful number, since it uses less digits than its factorization.

12802569472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

It can be divided in two parts, 1280 and 2569472, that added together give a palindrome (2570752).

The spelling of 12802569472 in words is "twelve billion, eight hundred two million, five hundred sixty-nine thousand, four hundred seventy-two".