85806406309 has 8 divisors (see below), whose sum is σ = 92424630872. Its totient is φ = 79190714880.

The previous prime is 85806406307. The next prime is 85806406351. The reversal of 85806406309 is 90360460858.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18804636900 + 67001769409 = 137130^2 + 258847^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85806406309 - 2¹ = 85806406307 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 (85806406307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562632 + ... + 698689.

It is an arithmetic number, because the mean of its divisors is an integer number (11553078859).

Almost surely, 2^85806406309 is an apocalyptic number.

It is an amenable number.

85806406309 is a deficient number, since it is larger than the sum of its proper divisors (6618224563).

85806406309 is a wasteful number, since it uses less digits than its factorization.

85806406309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266567.

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 85806406309 in words is "eighty-five billion, eight hundred six million, four hundred six thousand, three hundred nine".