12885728960 has 56 divisors (see below), whose sum is σ = 33044471376. Its totient is φ = 4757806080.

The previous prime is 12885728941. The next prime is 12885728963. The reversal of 12885728960 is 6982758821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12885728896 and 12885728905.

It is not an unprimeable number, because it can be changed into a prime (12885728963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1544606 + ... + 1552925.

It is an arithmetic number, because the mean of its divisors is an integer number (590079846).

Almost surely, 2^12885728960 is an apocalyptic number.

12885728960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12885728960 is an abundant number, since it is smaller than the sum of its proper divisors (20158742416).

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

12885728960 is a wasteful number, since it uses less digits than its factorization.

12885728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097561 (or 3097551 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 56.

The spelling of 12885728960 in words is "twelve billion, eight hundred eighty-five million, seven hundred twenty-eight thousand, nine hundred sixty".