27850264002289 has 2 divisors, whose sum is σ = 27850264002290. Its totient is φ = 27850264002288.

The previous prime is 27850264002269. The next prime is 27850264002329. The reversal of 27850264002289 is 98220046205872.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24524364075264 + 3325899927025 = 4952208^2 + 1823705^2 .

It is a cyclic number.

It is not a de Polignac number, because 27850264002289 - 2¹³ = 27850263994097 is a prime.

It is not a weakly prime, because it can be changed into another prime (27850264002269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13925132001144 + 13925132001145.

It is an arithmetic number, because the mean of its divisors is an integer number (13925132001145).

Almost surely, 2^{27850264002289} is an apocalyptic number.

It is an amenable number.

27850264002289 is a deficient number, since it is larger than the sum of its proper divisors (1).

27850264002289 is an equidigital number, since it uses as much as digits as its factorization.

27850264002289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7741440, while the sum is 55.

It can be divided in two parts, 278502 and 64002289, that added together give a triangular number (64280791 = T₁₁₃₃₈).

The spelling of 27850264002289 in words is "twenty-seven trillion, eight hundred fifty billion, two hundred sixty-four million, two thousand, two hundred eighty-nine".