27188382321 has 63 divisors (see below), whose sum is σ = 42336208443. Its totient is φ = 17451851760.

The previous prime is 27188382313. The next prime is 27188382337. The reversal of 27188382321 is 12328388172.

The square root of 27188382321 is 164889.

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., 26639136225 + 549246096 = 163215^2 + 23436^2 .

It is not a de Polignac number, because 27188382321 - 2³ = 27188382313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27188382341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 138011995 + ... + 138012191.

Almost surely, 2^27188382321 is an apocalyptic number.

27188382321 is the 164889-th square number.

27188382321 is the 82445-th centered octagonal number.

It is an amenable number.

27188382321 is a deficient number, since it is larger than the sum of its proper divisors (15147826122).

27188382321 is an frugal number, since it uses more digits than its factorization.

27188382321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 231 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 27188382321 in words is "twenty-seven billion, one hundred eighty-eight million, three hundred eighty-two thousand, three hundred twenty-one".