27631816289 has 16 divisors (see below), whose sum is σ = 34454382720. Its totient is φ = 21528581760.

The previous prime is 27631816253. The next prime is 27631816309. The reversal of 27631816289 is 98261813672.

It is not a de Polignac number, because 27631816289 - 2²⁸ = 27363380833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27631816289.

It is not an unprimeable number, because it can be changed into a prime (27531816289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778277 + ... + 813005.

It is an arithmetic number, because the mean of its divisors is an integer number (2153398920).

Almost surely, 2^27631816289 is an apocalyptic number.

It is an amenable number.

27631816289 is a deficient number, since it is larger than the sum of its proper divisors (6822566431).

27631816289 is a wasteful number, since it uses less digits than its factorization.

27631816289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45080.

The product of its digits is 1741824, while the sum is 53.

The spelling of 27631816289 in words is "twenty-seven billion, six hundred thirty-one million, eight hundred sixteen thousand, two hundred eighty-nine".