85335666653358 has 48 divisors (see below), whose sum is σ = 201754700574336. Its totient is φ = 25852598597520.

The previous prime is 85335666653339. The next prime is 85335666653399.

85335666653358 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 55019260 + ... + 56549007.

It is an arithmetic number, because the mean of its divisors is an integer number (4203222928632).

Almost surely, 2^{85335666653358} is an apocalyptic number.

85335666653358 is an abundant number, since it is smaller than the sum of its proper divisors (116419033920978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85335666653358 is a wasteful number, since it uses less digits than its factorization.

85335666653358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111572149 (or 111572146 counting only the distinct ones).

The product of its digits is 4199040000, while the sum is 72.

The spelling of 85335666653358 in words is "eighty-five trillion, three hundred thirty-five billion, six hundred sixty-six million, six hundred fifty-three thousand, three hundred fifty-eight".