12771643262976 has 288 divisors, whose sum is σ = 40797958645080. Its totient is φ = 3823524642816.

The previous prime is 12771643262971. The next prime is 12771643262993. The reversal of 12771643262976 is 67926234617721.

12771643262976 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 16 + 4 + 326 + 297 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12750041318400 + 21601944576 = 3570720^2 + 146976^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12771643262976² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12771643262971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8145516 + ... + 9586068.

Almost surely, 2^{12771643262976} is an apocalyptic number.

12771643262976 is a gapful number since it is divisible by the number (16) 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 12771643262976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20398979322540).

12771643262976 is an abundant number, since it is smaller than the sum of its proper divisors (28026315382104).

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

12771643262976 is a wasteful number, since it uses less digits than its factorization.

12771643262976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440631 (or 1440608 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 12771643262976 in words is "twelve trillion, seven hundred seventy-one billion, six hundred forty-three million, two hundred sixty-two thousand, nine hundred seventy-six".