27220187986209 has 81 divisors (see below), whose sum is σ = 41648741881201. Its totient is φ = 17129846894160.

The previous prime is 27220187986153. The next prime is 27220187986261. The reversal of 27220187986209 is 90268978102272.

The square root of 27220187986209 is 5217297.

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

27220187986209 is a `hidden beast` number, since 2 + 72 + 201 + 87 + 9 + 86 + 209 = 666.

It is not a de Polignac number, because 27220187986209 - 2²⁹ = 27219651115297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27220187982209) 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 80 ways as a sum of consecutive naturals, for example, 29879459464 + ... + 29879460374.

Almost surely, 2^{27220187986209} is an apocalyptic number.

27220187986209 is the 5217297-th square number.

27220187986209 is the 2608649-th centered octagonal number.

It is an amenable number.

27220187986209 is a deficient number, since it is larger than the sum of its proper divisors (14428553894992).

27220187986209 is an frugal number, since it uses more digits than its factorization.

27220187986209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 27220187986209 in words is "twenty-seven trillion, two hundred twenty billion, one hundred eighty-seven million, nine hundred eighty-six thousand, two hundred nine".