12755681940960 has 1152 divisors, whose sum is σ = 52107292016640. Its totient is φ = 2854696255488.

The previous prime is 12755681940959. The next prime is 12755681940971. The reversal of 12755681940960 is 6904918655721.

12755681940960 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 568 + 1 + 9 + 4 + 0 + 9 + 60 = 666.

12755681940960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 36135076144 + ... + 36135076496.

It is an arithmetic number, because the mean of its divisors is an integer number (45232024320).

Almost surely, 2^{12755681940960} is an apocalyptic number.

12755681940960 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 12755681940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26053646008320).

12755681940960 is an abundant number, since it is smaller than the sum of its proper divisors (39351610075680).

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

12755681940960 is a wasteful number, since it uses less digits than its factorization.

12755681940960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 12755681940960 in words is "twelve trillion, seven hundred fifty-five billion, six hundred eighty-one million, nine hundred forty thousand, nine hundred sixty".