12921764544 has 224 divisors, whose sum is σ = 41231393280. Its totient is φ = 3944678400.

The previous prime is 12921764509. The next prime is 12921764551. The reversal of 12921764544 is 44546712921.

12921764544 is a `hidden beast` number, since 1 + 2 + 92 + 17 + 6 + 4 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12921764544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2940589 + ... + 2944979.

It is an arithmetic number, because the mean of its divisors is an integer number (184068720).

Almost surely, 2^12921764544 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 12921764544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20615696640).

12921764544 is an abundant number, since it is smaller than the sum of its proper divisors (28309628736).

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

12921764544 is a wasteful number, since it uses less digits than its factorization.

12921764544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4540 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 12921764544 in words is "twelve billion, nine hundred twenty-one million, seven hundred sixty-four thousand, five hundred forty-four".