27891760992257 has 2 divisors, whose sum is σ = 27891760992258. Its totient is φ = 27891760992256.

The previous prime is 27891760992209. The next prime is 27891760992289. The reversal of 27891760992257 is 75229906719872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19410712366081 + 8481048626176 = 4405759^2 + 2912224^2 .

It is a cyclic number.

It is not a de Polignac number, because 27891760992257 - 2¹⁰ = 27891760991233 is a prime.

It is not a weakly prime, because it can be changed into another prime (27891760991257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13945880496128 + 13945880496129.

It is an arithmetic number, because the mean of its divisors is an integer number (13945880496129).

Almost surely, 2^{27891760992257} is an apocalyptic number.

It is an amenable number.

27891760992257 is a deficient number, since it is larger than the sum of its proper divisors (1).

27891760992257 is an equidigital number, since it uses as much as digits as its factorization.

27891760992257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480090240, while the sum is 74.

The spelling of 27891760992257 in words is "twenty-seven trillion, eight hundred ninety-one billion, seven hundred sixty million, nine hundred ninety-two thousand, two hundred fifty-seven".