12771716960 has 48 divisors (see below), whose sum is σ = 30195770976. Its totient is φ = 5104862208.

The previous prime is 12771716891. The next prime is 12771717011. The reversal of 12771716960 is 6961717721.

12771716960 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 7 ways as a sum of consecutive naturals, for example, 189524 + ... + 247916.

It is an arithmetic number, because the mean of its divisors is an integer number (629078562).

Almost surely, 2^12771716960 is an apocalyptic number.

12771716960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12771716960 is an abundant number, since it is smaller than the sum of its proper divisors (17424054016).

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

12771716960 is a wasteful number, since it uses less digits than its factorization.

12771716960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59775 (or 59767 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 47.

The spelling of 12771716960 in words is "twelve billion, seven hundred seventy-one million, seven hundred sixteen thousand, nine hundred sixty".