85105882773 has 12 divisors (see below), whose sum is σ = 123004484928. Its totient is φ = 56703209640.

The previous prime is 85105882759. The next prime is 85105882793. The reversal of 85105882773 is 37728850158.

85105882773 is a `hidden beast` number, since 8 + 51 + 0 + 588 + 2 + 7 + 7 + 3 = 666.

It is not a de Polignac number, because 85105882773 - 2⁹ = 85105882261 is a prime.

It is a super-2 number, since 2×85105882773² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85105882793) 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, 2821293 + ... + 2851298.

It is an arithmetic number, because the mean of its divisors is an integer number (10250373744).

Almost surely, 2^85105882773 is an apocalyptic number.

It is an amenable number.

85105882773 is a deficient number, since it is larger than the sum of its proper divisors (37898602155).

85105882773 is a wasteful number, since it uses less digits than its factorization.

85105882773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674264 (or 5674261 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 85105882773 in words is "eighty-five billion, one hundred five million, eight hundred eighty-two thousand, seven hundred seventy-three".