12782086272 has 72 divisors (see below), whose sum is σ = 36792830295. Its totient is φ = 4259416320.

The previous prime is 12782086271. The next prime is 12782086307. The reversal of 12782086272 is 27268028721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12782086272 is a `hidden beast` number, since 12 + 7 + 8 + 2 + 0 + 8 + 627 + 2 = 666.

12782086272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6391043136 + 6391043136 = 79944^2 + 79944^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=79944.

It is not an unprimeable number, because it can be changed into a prime (12782086271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3835647 + ... + 3838977.

Almost surely, 2^12782086272 is an apocalyptic number.

12782086272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12782086272 is an abundant number, since it is smaller than the sum of its proper divisors (24010744023).

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

12782086272 is an frugal number, since it uses more digits than its factorization.

12782086272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12782086272 in words is "twelve billion, seven hundred eighty-two million, eighty-six thousand, two hundred seventy-two".