85805637120 has 640 divisors, whose sum is σ = 351741772800. Its totient is φ = 19420839936.

The previous prime is 85805637067. The next prime is 85805637139. The reversal of 85805637120 is 2173650858.

85805637120 is a `hidden beast` number, since 8 + 5 + 8 + 0 + 5 + 637 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52737747 + ... + 52739373.

It is an arithmetic number, because the mean of its divisors is an integer number (549596520).

Almost surely, 2^85805637120 is an apocalyptic number.

85805637120 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 85805637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175870886400).

85805637120 is an abundant number, since it is smaller than the sum of its proper divisors (265936135680).

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

85805637120 is a wasteful number, since it uses less digits than its factorization.

85805637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 85805637120 in words is "eighty-five billion, eight hundred five million, six hundred thirty-seven thousand, one hundred twenty".