12288256983360 has 1344 divisors, whose sum is σ = 47628195084288. Its totient is φ = 2893086720000.

The previous prime is 12288256983347. The next prime is 12288256983367. The reversal of 12288256983360 is 6338965288221.

12288256983360 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 8 + 2 + 569 + 8 + 3 + 3 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288256983367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11263296415 + ... + 11263297505.

It is an arithmetic number, because the mean of its divisors is an integer number (35437645152).

Almost surely, 2^{12288256983360} is an apocalyptic number.

12288256983360 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 12288256983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23814097542144).

12288256983360 is an abundant number, since it is smaller than the sum of its proper divisors (35339938100928).

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

12288256983360 is a wasteful number, since it uses less digits than its factorization.

12288256983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 12288256983360 in words is "twelve trillion, two hundred eighty-eight billion, two hundred fifty-six million, nine hundred eighty-three thousand, three hundred sixty".