12963210720768 has 2880 divisors, whose sum is σ = 53145193989888. Its totient is φ = 3107971399680.

The previous prime is 12963210720743. The next prime is 12963210720787. The reversal of 12963210720768 is 86702701236921.

It is a happy number.

12963210720768 is a `hidden beast` number, since 1 + 296 + 3 + 210 + 72 + 0 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 94621975996 + ... + 94621976132.

Almost surely, 2^{12963210720768} is an apocalyptic number.

12963210720768 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 12963210720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26572596994944).

12963210720768 is an abundant number, since it is smaller than the sum of its proper divisors (40181983269120).

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

12963210720768 is a wasteful number, since it uses less digits than its factorization.

12963210720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 12963210720768 in words is "twelve trillion, nine hundred sixty-three billion, two hundred ten million, seven hundred twenty thousand, seven hundred sixty-eight".