85808416182020 has 288 divisors, whose sum is σ = 223215500626272. Its totient is φ = 27531508580352.

The previous prime is 85808416182019. The next prime is 85808416182053. The reversal of 85808416182020 is 2028161480858.

It can be written as a sum of positive squares in 16 ways, for example, as 1544571724864 + 84263844457156 = 1242808^2 + 9179534^2 .

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5832142184 + ... + 5832156896.

It is an arithmetic number, because the mean of its divisors is an integer number (775053821619).

Almost surely, 2^{85808416182020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85808416182020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111607750313136).

85808416182020 is an abundant number, since it is smaller than the sum of its proper divisors (137407084444252).

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

85808416182020 is a wasteful number, since it uses less digits than its factorization.

85808416182020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16727 (or 16718 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 53.

The spelling of 85808416182020 in words is "eighty-five trillion, eight hundred eight billion, four hundred sixteen million, one hundred eighty-two thousand, twenty".