12772940544 has 540 divisors, whose sum is σ = 47762221584. Its totient is φ = 3365203968.

The previous prime is 12772940539. The next prime is 12772940549. The reversal of 12772940544 is 44504927721.

12772940544 is a `hidden beast` number, since 12 + 7 + 7 + 2 + 94 + 0 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (12772940539) and next prime (12772940549).

It is a self number, because there is not a number n which added to its sum of digits gives 12772940544.

It is not an unprimeable number, because it can be changed into a prime (12772940549) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13208349 + ... + 13209315.

Almost surely, 2^12772940544 is an apocalyptic number.

12772940544 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 12772940544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23881110792).

12772940544 is an abundant number, since it is smaller than the sum of its proper divisors (34989281040).

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

12772940544 is an equidigital number, since it uses as much as digits as its factorization.

12772940544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12772940544 in words is "twelve billion, seven hundred seventy-two million, nine hundred forty thousand, five hundred forty-four".