27966876289 has 27 divisors (see below), whose sum is σ = 32183792067. Its totient is φ = 24282231600.

The previous prime is 27966876257. The next prime is 27966876317. The reversal of 27966876289 is 98267866972.

The square root of 27966876289 is 167233.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22206066289 + 5760810000 = 149017^2 + 75900^2 .

It is not a de Polignac number, because 27966876289 - 2⁵ = 27966876257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27966876229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42309619 + ... + 42310279.

Almost surely, 2^27966876289 is an apocalyptic number.

27966876289 is the 167233-rd square number.

27966876289 is the 83617-th centered octagonal number.

It is an amenable number.

27966876289 is a deficient number, since it is larger than the sum of its proper divisors (4216915778).

27966876289 is an frugal number, since it uses more digits than its factorization.

27966876289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 695 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 70.

The spelling of 27966876289 in words is "twenty-seven billion, nine hundred sixty-six million, eight hundred seventy-six thousand, two hundred eighty-nine".