12745760544 has 432 divisors, whose sum is σ = 41597914176. Its totient is φ = 3696675840.

The previous prime is 12745760537. The next prime is 12745760561. The reversal of 12745760544 is 44506754721.

12745760544 is a `hidden beast` number, since 1 + 2 + 7 + 45 + 7 + 60 + 544 = 666.

It is a Smith number, since the sum of its digits (45) 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 12745760544.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123745197 + ... + 123745299.

It is an arithmetic number, because the mean of its divisors is an integer number (96291468).

Almost surely, 2^12745760544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12745760544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20798957088).

12745760544 is an abundant number, since it is smaller than the sum of its proper divisors (28852153632).

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

12745760544 is a wasteful number, since it uses less digits than its factorization.

12745760544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 12745760544 in words is "twelve billion, seven hundred forty-five million, seven hundred sixty thousand, five hundred forty-four".