12768266649600 has 4608 divisors, whose sum is σ = 63892535616000. Its totient is φ = 2497078886400.

The previous prime is 12768266649569. The next prime is 12768266649641. The reversal of 12768266649600 is 694666286721.

12768266649600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 751074508792 + ... + 751074508808.

It is an arithmetic number, because the mean of its divisors is an integer number (13865567625).

Almost surely, 2^{12768266649600} is an apocalyptic number.

12768266649600 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 12768266649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31946267808000).

12768266649600 is an abundant number, since it is smaller than the sum of its proper divisors (51124268966400).

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

12768266649600 is an frugal number, since it uses more digits than its factorization.

12768266649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 12768266649600 in words is "twelve trillion, seven hundred sixty-eight billion, two hundred sixty-six million, six hundred forty-nine thousand, six hundred".