27765164762217 has 6 divisors (see below), whose sum is σ = 40105237989882. Its totient is φ = 18510109841472.

The previous prime is 27765164762213. The next prime is 27765164762219. The reversal of 27765164762217 is 71226746156772.

27765164762217 is a `hidden beast` number, since 2 + 7 + 7 + 6 + 516 + 47 + 62 + 2 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17946568122921 + 9818596639296 = 4236339^2 + 3133464^2 .

It is not a de Polignac number, because 27765164762217 - 2² = 27765164762213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27765164762213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1542509153448 + ... + 1542509153465.

It is an arithmetic number, because the mean of its divisors is an integer number (6684206331647).

Almost surely, 2^{27765164762217} is an apocalyptic number.

It is an amenable number.

27765164762217 is a deficient number, since it is larger than the sum of its proper divisors (12340073227665).

27765164762217 is a wasteful number, since it uses less digits than its factorization.

27765164762217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085018306919 (or 3085018306916 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 27765164762217 in words is "twenty-seven trillion, seven hundred sixty-five billion, one hundred sixty-four million, seven hundred sixty-two thousand, two hundred seventeen".