85035885120 has 168 divisors, whose sum is σ = 294105771960. Its totient is φ = 22550814720.

The previous prime is 85035885059. The next prime is 85035885217. The reversal of 85035885120 is 2158853058.

85035885120 is a `hidden beast` number, since 8 + 50 + 3 + 5 + 88 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2105708544 + 82930176576 = 45888^2 + 287976^2 .

It is a super-2 number, since 2×85035885120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439716 + ... + 602844.

It is an arithmetic number, because the mean of its divisors is an integer number (1750629595).

Almost surely, 2^85035885120 is an apocalyptic number.

85035885120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85035885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147052885980).

85035885120 is an abundant number, since it is smaller than the sum of its proper divisors (209069886840).

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

85035885120 is a wasteful number, since it uses less digits than its factorization.

85035885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163333 (or 163320 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 85035885120 in words is "eighty-five billion, thirty-five million, eight hundred eighty-five thousand, one hundred twenty".