85805138805553 has 16 divisors (see below), whose sum is σ = 91106092118160. Its totient is φ = 80532498825216.

The previous prime is 85805138805539. The next prime is 85805138805571. The reversal of 85805138805553 is 35550883150858.

It can be written as a sum of positive squares in 8 ways, for example, as 2511917519409 + 83293221286144 = 1584903^2 + 9126512^2 .

It is not a de Polignac number, because 85805138805553 - 2⁵ = 85805138805521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85805138805583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18012925 + ... + 22272757.

It is an arithmetic number, because the mean of its divisors is an integer number (5694130757385).

Almost surely, 2^{85805138805553} is an apocalyptic number.

It is an amenable number.

85805138805553 is a deficient number, since it is larger than the sum of its proper divisors (5300953312607).

85805138805553 is a wasteful number, since it uses less digits than its factorization.

85805138805553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263156.

The product of its (nonzero) digits is 115200000, while the sum is 64.

The spelling of 85805138805553 in words is "eighty-five trillion, eight hundred five billion, one hundred thirty-eight million, eight hundred five thousand, five hundred fifty-three".