27648698789209 has 9 divisors (see below), whose sum is σ = 27673092057247. Its totient is φ = 27624327018304.

The previous prime is 27648698789083. The next prime is 27648698789269. The reversal of 27648698789209 is 90298789684672.

The square root of 27648698789209 is 5258203.

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., 18019642952025 + 9629055837184 = 4244955^2 + 3103072^2 .

It is not a de Polignac number, because 27648698789209 - 2¹³ = 27648698781017 is a prime.

It is a super-2 number, since 2×27648698789209² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27648698789269) 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, 10405982409 + ... + 10405985065.

Almost surely, 2^{27648698789209} is an apocalyptic number.

27648698789209 is the 5258203-rd square number.

27648698789209 is the 2629102-nd centered octagonal number.

It is an amenable number.

27648698789209 is a deficient number, since it is larger than the sum of its proper divisors (24393268038).

27648698789209 is an frugal number, since it uses more digits than its factorization.

27648698789209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9272 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 10534551552, while the sum is 85.

The spelling of 27648698789209 in words is "twenty-seven trillion, six hundred forty-eight billion, six hundred ninety-eight million, seven hundred eighty-nine thousand, two hundred nine".