12788354772 has 72 divisors (see below), whose sum is σ = 33201178920. Its totient is φ = 4147937280.

The previous prime is 12788354743. The next prime is 12788354791. The reversal of 12788354772 is 27745388721.

12788354772 is a `hidden beast` number, since 1 + 27 + 8 + 8 + 3 + 547 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1915287696 + 10873067076 = 43764^2 + 104274^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563028 + ... + 585300.

It is an arithmetic number, because the mean of its divisors is an integer number (461127485).

Almost surely, 2^12788354772 is an apocalyptic number.

12788354772 is a gapful number since it is divisible by the number (12) 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 12788354772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600589460).

12788354772 is an abundant number, since it is smaller than the sum of its proper divisors (20412824148).

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

12788354772 is a wasteful number, since it uses less digits than its factorization.

12788354772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22713 (or 22708 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 12788354772 in words is "twelve billion, seven hundred eighty-eight million, three hundred fifty-four thousand, seven hundred seventy-two".