12768981523200 has 2160 divisors, whose sum is σ = 55114392453120. Its totient is φ = 2856870051840.

The previous prime is 12768981523189. The next prime is 12768981523201. The reversal of 12768981523200 is 232518986721.

12768981523200 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 8 + 98 + 1 + 523 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (12768981523201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47468332666 + ... + 47468332934.

It is an arithmetic number, because the mean of its divisors is an integer number (25515922432).

Almost surely, 2^{12768981523200} is an apocalyptic number.

12768981523200 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 12768981523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27557196226560).

12768981523200 is an abundant number, since it is smaller than the sum of its proper divisors (42345410929920).

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

12768981523200 is a wasteful number, since it uses less digits than its factorization.

12768981523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12768981523200 in words is "twelve trillion, seven hundred sixty-eight billion, nine hundred eighty-one million, five hundred twenty-three thousand, two hundred".