12740772528 has 200 divisors, whose sum is σ = 40831285440. Its totient is φ = 3802930560.

The previous prime is 12740772493. The next prime is 12740772533. The reversal of 12740772528 is 82527704721.

12740772528 is a `hidden beast` number, since 12 + 7 + 40 + 7 + 72 + 528 = 666.

12740772528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12740772528² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 948483 + ... + 961821.

Almost surely, 2^12740772528 is an apocalyptic number.

12740772528 is a gapful number since it is divisible by the number (18) 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 12740772528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415642720).

12740772528 is an abundant number, since it is smaller than the sum of its proper divisors (28090512912).

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

12740772528 is a wasteful number, since it uses less digits than its factorization.

12740772528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13437 (or 13422 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 12740772528 in words is "twelve billion, seven hundred forty million, seven hundred seventy-two thousand, five hundred twenty-eight".