12656782448640 has 1728 divisors, whose sum is σ = 50548262768640. Its totient is φ = 3034954137600.

The previous prime is 12656782448627. The next prime is 12656782448657. The reversal of 12656782448640 is 4684428765621.

It is a happy number.

12656782448640 is a `hidden beast` number, since 1 + 2 + 6 + 56 + 7 + 82 + 448 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38238013275 + ... + 38238013605.

It is an arithmetic number, because the mean of its divisors is an integer number (29252466880).

Almost surely, 2^{12656782448640} is an apocalyptic number.

12656782448640 is a gapful number since it is divisible by the number (10) 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 12656782448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25274131384320).

12656782448640 is an abundant number, since it is smaller than the sum of its proper divisors (37891480320000).

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

12656782448640 is a wasteful number, since it uses less digits than its factorization.

12656782448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 12656782448640 in words is "twelve trillion, six hundred fifty-six billion, seven hundred eighty-two million, four hundred forty-eight thousand, six hundred forty".