12779361504 has 432 divisors, whose sum is σ = 46664326800. Its totient is φ = 3286241280.

The previous prime is 12779361493. The next prime is 12779361509. The reversal of 12779361504 is 40516397721.

12779361504 is a `hidden beast` number, since 1 + 27 + 7 + 9 + 3 + 615 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12779361504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12779361509) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7520847 + ... + 7522545.

It is an arithmetic number, because the mean of its divisors is an integer number (108019275).

Almost surely, 2^12779361504 is an apocalyptic number.

12779361504 is a gapful number since it is divisible by the number (14) 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 12779361504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23332163400).

12779361504 is an abundant number, since it is smaller than the sum of its proper divisors (33884965296).

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

12779361504 is a wasteful number, since it uses less digits than its factorization.

12779361504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 12779361504 in words is "twelve billion, seven hundred seventy-nine million, three hundred sixty-one thousand, five hundred four".