27873304209 has 81 divisors (see below), whose sum is σ = 44447791089. Its totient is φ = 16828862400.

The previous prime is 27873304201. The next prime is 27873304229. The reversal of 27873304209 is 90240337872.

The square root of 27873304209 is 166953.

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

27873304209 is a `hidden beast` number, since 2 + 78 + 73 + 304 + 209 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9159064209 + 18714240000 = 95703^2 + 136800^2 .

It is not a de Polignac number, because 27873304209 - 2³ = 27873304201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27873304201) 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, 275973259 + ... + 275973359.

Almost surely, 2^27873304209 is an apocalyptic number.

27873304209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

27873304209 is the 166953-rd square number.

27873304209 is the 83477-th centered octagonal number.

It is an amenable number.

27873304209 is a deficient number, since it is larger than the sum of its proper divisors (16574486880).

27873304209 is a wasteful number, since it uses less digits than its factorization.

27873304209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 27873304209 in words is "twenty-seven billion, eight hundred seventy-three million, three hundred four thousand, two hundred nine".