12771609985728 has 336 divisors, whose sum is σ = 41223518467200. Its totient is φ = 3845392911360.

The previous prime is 12771609985691. The next prime is 12771609985763. The reversal of 12771609985728 is 82758990617721.

12771609985728 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 1 + 609 + 9 + 8 + 5 + 7 + 2 + 8 = 666.

12771609985728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12771609985728² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468514563 + ... + 468541821.

Almost surely, 2^{12771609985728} is an apocalyptic number.

12771609985728 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 12771609985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20611759233600).

12771609985728 is an abundant number, since it is smaller than the sum of its proper divisors (28451908481472).

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

12771609985728 is a wasteful number, since it uses less digits than its factorization.

12771609985728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27605 (or 27432 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 72.

The spelling of 12771609985728 in words is "twelve trillion, seven hundred seventy-one billion, six hundred nine million, nine hundred eighty-five thousand, seven hundred twenty-eight".