12778827264 has 480 divisors, whose sum is σ = 45961344000. Its totient is φ = 3335012352.

The previous prime is 12778827203. The next prime is 12778827319. The reversal of 12778827264 is 46272887721.

12778827264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12778827264.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 17772697 + ... + 17773415.

It is an arithmetic number, because the mean of its divisors is an integer number (95752800).

Almost surely, 2^12778827264 is an apocalyptic number.

12778827264 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 12778827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672000).

12778827264 is an abundant number, since it is smaller than the sum of its proper divisors (33182516736).

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

12778827264 is a wasteful number, since it uses less digits than its factorization.

12778827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The spelling of 12778827264 in words is "twelve billion, seven hundred seventy-eight million, eight hundred twenty-seven thousand, two hundred sixty-four".