27772388820017 has 4 divisors (see below), whose sum is σ = 27776870412276. Its totient is φ = 27767907227760.

The previous prime is 27772388819899. The next prime is 27772388820019. The reversal of 27772388820017 is 71002888327772.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6219991108081 + 21552397711936 = 2493991^2 + 4642456^2 .

It is a cyclic number.

It is not a de Polignac number, because 27772388820017 - 2²⁴ = 27772372042801 is a prime.

It is a super-3 number, since 3×27772388820017³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27772388820019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2240786834 + ... + 2240799227.

It is an arithmetic number, because the mean of its divisors is an integer number (6944217603069).

Almost surely, 2^{27772388820017} is an apocalyptic number.

It is an amenable number.

27772388820017 is a deficient number, since it is larger than the sum of its proper divisors (4481592259).

27772388820017 is an equidigital number, since it uses as much as digits as its factorization.

27772388820017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481592258.

The product of its (nonzero) digits is 29503488, while the sum is 62.

The spelling of 27772388820017 in words is "twenty-seven trillion, seven hundred seventy-two billion, three hundred eighty-eight million, eight hundred twenty thousand, seventeen".