12983919556608 has 960 divisors, whose sum is σ = 52071593333760. Its totient is φ = 3112987852800.

The previous prime is 12983919556561. The next prime is 12983919556613. The reversal of 12983919556608 is 80665591938921.

12983919556608 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 3 + 9 + 1 + 9 + 5 + 5 + 6 + 608 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166014793 + ... + 166092983.

It is an arithmetic number, because the mean of its divisors is an integer number (54241243056).

Almost surely, 2^{12983919556608} is an apocalyptic number.

12983919556608 is a gapful number since it is divisible by the number (18) 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 12983919556608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26035796666880).

12983919556608 is an abundant number, since it is smaller than the sum of its proper divisors (39087673777152).

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

12983919556608 is a wasteful number, since it uses less digits than its factorization.

12983919556608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78256 (or 78227 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 12983919556608 in words is "twelve trillion, nine hundred eighty-three billion, nine hundred nineteen million, five hundred fifty-six thousand, six hundred eight".