12771279360 has 240 divisors, whose sum is σ = 50549818176. Its totient is φ = 2919112704.

The previous prime is 12771279349. The next prime is 12771279373. The reversal of 12771279360 is 6397217721.

12771279360 is a `hidden beast` number, since 1 + 277 + 12 + 7 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121687 + ... + 200873.

Almost surely, 2^12771279360 is an apocalyptic number.

12771279360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12771279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25274909088).

12771279360 is an abundant number, since it is smaller than the sum of its proper divisors (37778538816).

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

12771279360 is an equidigital number, since it uses as much as digits as its factorization.

12771279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79223 (or 79204 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 12771279360 in words is "twelve billion, seven hundred seventy-one million, two hundred seventy-nine thousand, three hundred sixty".