27985888417 has 2 divisors, whose sum is σ = 27985888418. Its totient is φ = 27985888416.

The previous prime is 27985888339. The next prime is 27985888423. The reversal of 27985888417 is 71488858972.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27972228001 + 13660416 = 167249^2 + 3696^2 .

It is a cyclic number.

It is not a de Polignac number, because 27985888417 - 2⁷ = 27985888289 is a prime.

It is not a weakly prime, because it can be changed into another prime (27985888717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13992944208 + 13992944209.

It is an arithmetic number, because the mean of its divisors is an integer number (13992944209).

Almost surely, 2^27985888417 is an apocalyptic number.

It is an amenable number.

27985888417 is a deficient number, since it is larger than the sum of its proper divisors (1).

27985888417 is an equidigital number, since it uses as much as digits as its factorization.

27985888417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72253440, while the sum is 67.

The spelling of 27985888417 in words is "twenty-seven billion, nine hundred eighty-five million, eight hundred eighty-eight thousand, four hundred seventeen".