85760536817 has 2 divisors, whose sum is σ = 85760536818. Its totient is φ = 85760536816.

The previous prime is 85760536789. The next prime is 85760536819. The reversal of 85760536817 is 71863506758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85760536801 + 16 = 292849^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 85760536817 - 2²⁴ = 85743759601 is a prime.

Together with 85760536819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85760536819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42880268408 + 42880268409.

It is an arithmetic number, because the mean of its divisors is an integer number (42880268409).

Almost surely, 2^85760536817 is an apocalyptic number.

It is an amenable number.

85760536817 is a deficient number, since it is larger than the sum of its proper divisors (1).

85760536817 is an equidigital number, since it uses as much as digits as its factorization.

85760536817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 85760536817 in words is "eighty-five billion, seven hundred sixty million, five hundred thirty-six thousand, eight hundred seventeen".