12660768350208 has 896 divisors, whose sum is σ = 44504741917440. Its totient is φ = 3512897372160.

The previous prime is 12660768350203. The next prime is 12660768350227. The reversal of 12660768350208 is 80205386706621.

12660768350208 is a `hidden beast` number, since 1 + 2 + 6 + 60 + 76 + 8 + 3 + 502 + 0 + 8 = 666.

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 (12660768350203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1530367960 + ... + 1530376232.

It is an arithmetic number, because the mean of its divisors is an integer number (49670470890).

Almost surely, 2^{12660768350208} is an apocalyptic number.

12660768350208 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 12660768350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22252370958720).

12660768350208 is an abundant number, since it is smaller than the sum of its proper divisors (31843973567232).

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

12660768350208 is a wasteful number, since it uses less digits than its factorization.

12660768350208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12660768350208 in words is "twelve trillion, six hundred sixty billion, seven hundred sixty-eight million, three hundred fifty thousand, two hundred eight".