85593417857 has 2 divisors, whose sum is σ = 85593417858. Its totient is φ = 85593417856.

The previous prime is 85593417841. The next prime is 85593417869. The reversal of 85593417857 is 75871439558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79962266176 + 5631151681 = 282776^2 + 75041^2 .

It is a cyclic number.

It is not a de Polignac number, because 85593417857 - 2⁴ = 85593417841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85593417857.

It is not a weakly prime, because it can be changed into another prime (85593417257) 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 as a sum of consecutive naturals, namely, 42796708928 + 42796708929.

It is an arithmetic number, because the mean of its divisors is an integer number (42796708929).

Almost surely, 2^85593417857 is an apocalyptic number.

It is an amenable number.

85593417857 is a deficient number, since it is larger than the sum of its proper divisors (1).

85593417857 is an equidigital number, since it uses as much as digits as its factorization.

85593417857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336000, while the sum is 62.

The spelling of 85593417857 in words is "eighty-five billion, five hundred ninety-three million, four hundred seventeen thousand, eight hundred fifty-seven".