27066495287209 has 9 divisors (see below), whose sum is σ = 31485557289591. Its totient is φ = 23199821888040.

The previous prime is 27066495287207. The next prime is 27066495287257. The reversal of 27066495287209 is 90278259466072.

The square root of 27066495287209 is 5202547.

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., 3440479651609 + 23626015635600 = 1854853^2 + 4860660^2 .

It is not a de Polignac number, because 27066495287209 - 2¹ = 27066495287207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27066495287207) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36046219 + ... + 36789439.

It is an arithmetic number, because the mean of its divisors is an integer number (3498395254399).

Almost surely, 2^{27066495287209} is an apocalyptic number.

27066495287209 is the 5202547-th square number.

27066495287209 is the 2601274-th centered octagonal number.

It is an amenable number.

27066495287209 is a deficient number, since it is larger than the sum of its proper divisors (4419062002382).

27066495287209 is an frugal number, since it uses more digits than its factorization.

27066495287209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486456 (or 743228 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 67.

The spelling of 27066495287209 in words is "twenty-seven trillion, sixty-six billion, four hundred ninety-five million, two hundred eighty-seven thousand, two hundred nine".