27000585940577 has 2 divisors, whose sum is σ = 27000585940578. Its totient is φ = 27000585940576.

The previous prime is 27000585940541. The next prime is 27000585940637. The reversal of 27000585940577 is 77504958500072.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15622485495841 + 11378100444736 = 3952529^2 + 3373144^2 .

It is a cyclic number.

It is not a de Polignac number, because 27000585940577 - 2²² = 27000581746273 is a prime.

It is a super-2 number, since 2×27000585940577² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27000585940877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13500292970288 + 13500292970289.

It is an arithmetic number, because the mean of its divisors is an integer number (13500292970289).

Almost surely, 2^{27000585940577} is an apocalyptic number.

It is an amenable number.

27000585940577 is a deficient number, since it is larger than the sum of its proper divisors (1).

27000585940577 is an equidigital number, since it uses as much as digits as its factorization.

27000585940577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24696000, while the sum is 59.

The spelling of 27000585940577 in words is "twenty-seven trillion, five hundred eighty-five million, nine hundred forty thousand, five hundred seventy-seven".