27908916186321 has 27 divisors (see below), whose sum is σ = 40378067552667. Its totient is φ = 18575905617360.

The previous prime is 27908916186299. The next prime is 27908916186337. The reversal of 27908916186321 is 12368161980972.

The square root of 27908916186321 is 5282889.

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

27908916186321 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 8 + 9 + 1 + 618 + 6 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19002057948225 + 8906858238096 = 4359135^2 + 2984436^2 .

It is not a de Polignac number, because 27908916186321 - 2¹¹ = 27908916184273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27908916185321) 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 26 ways as a sum of consecutive naturals, for example, 14438134671 + ... + 14438136603.

Almost surely, 2^{27908916186321} is an apocalyptic number.

27908916186321 is the 5282889-th square number.

27908916186321 is the 2641445-th centered octagonal number.

It is an amenable number.

27908916186321 is a deficient number, since it is larger than the sum of its proper divisors (12469151366346).

27908916186321 is an frugal number, since it uses more digits than its factorization.

27908916186321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 27908916186321 in words is "twenty-seven trillion, nine hundred eight billion, nine hundred sixteen million, one hundred eighty-six thousand, three hundred twenty-one".