12683981755584 has 84 divisors (see below), whose sum is σ = 38269835337240. Its totient is φ = 4005467919360.

The previous prime is 12683981755579. The next prime is 12683981755589. The reversal of 12683981755584 is 48555718938621.

It is a happy number.

12683981755584 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 39 + 8 + 1 + 7 + 5 + 5 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (12683981755579) and next prime (12683981755589).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12683981755589) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 579483837 + ... + 579505724.

Almost surely, 2^{12683981755584} is an apocalyptic number.

It is an amenable number.

12683981755584 is an abundant number, since it is smaller than the sum of its proper divisors (25585853581656).

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

12683981755584 is a wasteful number, since it uses less digits than its factorization.

12683981755584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158989598 (or 1158989585 counting only the distinct ones).

The product of its digits is 580608000, while the sum is 72.

The spelling of 12683981755584 in words is "twelve trillion, six hundred eighty-three billion, nine hundred eighty-one million, seven hundred fifty-five thousand, five hundred eighty-four".