85105185680 has 40 divisors (see below), whose sum is σ = 199684894200. Its totient is φ = 33729758208.

The previous prime is 85105185673. The next prime is 85105185721. The reversal of 85105185680 is 8658150158.

It can be written as a sum of positive squares in 4 ways, for example, as 34607905024 + 50497280656 = 186032^2 + 224716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4871165 + ... + 4888604.

It is an arithmetic number, because the mean of its divisors is an integer number (4992122355).

Almost surely, 2^85105185680 is an apocalyptic number.

85105185680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85105185680 is an abundant number, since it is smaller than the sum of its proper divisors (114579708520).

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

85105185680 is a wasteful number, since it uses less digits than its factorization.

85105185680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759891 (or 9759885 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 47.

The spelling of 85105185680 in words is "eighty-five billion, one hundred five million, one hundred eighty-five thousand, six hundred eighty".