85430816109 has 12 divisors (see below), whose sum is σ = 123701784700. Its totient is φ = 56814623424.

The previous prime is 85430816089. The next prime is 85430816143. The reversal of 85430816109 is 90161803458.

85430816109 is a `hidden beast` number, since 85 + 430 + 81 + 61 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77665329225 + 7765486884 = 278685^2 + 88122^2 .

It is not a de Polignac number, because 85430816109 - 2¹⁵ = 85430783341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85430812109) 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 11 ways as a sum of consecutive naturals, for example, 11600614 + ... + 11607975.

Almost surely, 2^85430816109 is an apocalyptic number.

It is an amenable number.

85430816109 is a deficient number, since it is larger than the sum of its proper divisors (38270968591).

85430816109 is a wasteful number, since it uses less digits than its factorization.

85430816109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23209004 (or 23209001 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 85430816109 in words is "eighty-five billion, four hundred thirty million, eight hundred sixteen thousand, one hundred nine".