27966938485489 has 2 divisors, whose sum is σ = 27966938485490. Its totient is φ = 27966938485488.

The previous prime is 27966938485441. The next prime is 27966938485601. The reversal of 27966938485489 is 98458483966972.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25327314390625 + 2639624094864 = 5032625^2 + 1624692^2 .

It is a cyclic number.

It is not a de Polignac number, because 27966938485489 - 2⁷ = 27966938485361 is a prime.

It is a super-2 number, since 2×27966938485489² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27966938405489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13983469242744 + 13983469242745.

It is an arithmetic number, because the mean of its divisors is an integer number (13983469242745).

Almost surely, 2^{27966938485489} is an apocalyptic number.

It is an amenable number.

27966938485489 is a deficient number, since it is larger than the sum of its proper divisors (1).

27966938485489 is an equidigital number, since it uses as much as digits as its factorization.

27966938485489 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45148078080, while the sum is 88.

The spelling of 27966938485489 in words is "twenty-seven trillion, nine hundred sixty-six billion, nine hundred thirty-eight million, four hundred eighty-five thousand, four hundred eighty-nine".