85900656689 has 2 divisors, whose sum is σ = 85900656690. Its totient is φ = 85900656688.

The previous prime is 85900656637. The next prime is 85900656731. The reversal of 85900656689 is 98665600958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71267641600 + 14633015089 = 266960^2 + 120967^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85900656689 is a prime.

It is not a weakly prime, because it can be changed into another prime (85900656089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42950328344 + 42950328345.

It is an arithmetic number, because the mean of its divisors is an integer number (42950328345).

Almost surely, 2^85900656689 is an apocalyptic number.

It is an amenable number.

85900656689 is a deficient number, since it is larger than the sum of its proper divisors (1).

85900656689 is an equidigital number, since it uses as much as digits as its factorization.

85900656689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27993600, while the sum is 62.

The spelling of 85900656689 in words is "eighty-five billion, nine hundred million, six hundred fifty-six thousand, six hundred eighty-nine".