12771876160 has 28 divisors (see below), whose sum is σ = 30413030868. Its totient is φ = 5108750336.

The previous prime is 12771876151. The next prime is 12771876163. The reversal of 12771876160 is 6167817721.

It can be written as a sum of positive squares in 2 ways, for example, as 2037258496 + 10734617664 = 45136^2 + 103608^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12771876160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12771876163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19955737 + ... + 19956376.

Almost surely, 2^12771876160 is an apocalyptic number.

12771876160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12771876160 is an abundant number, since it is smaller than the sum of its proper divisors (17641154708).

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

12771876160 is an equidigital number, since it uses as much as digits as its factorization.

12771876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39912130 (or 39912120 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 46.

The spelling of 12771876160 in words is "twelve billion, seven hundred seventy-one million, eight hundred seventy-six thousand, one hundred sixty".