85080844800 has 1200 divisors, whose sum is σ = 379429554240. Its totient is φ = 18393661440.

The previous prime is 85080844787. The next prime is 85080844829. The reversal of 85080844800 is 844808058.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 137894092 + ... + 137894708.

Almost surely, 2^85080844800 is an apocalyptic number.

85080844800 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 85080844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189714777120).

85080844800 is an abundant number, since it is smaller than the sum of its proper divisors (294348709440).

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

85080844800 is a wasteful number, since it uses less digits than its factorization.

85080844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 85080844800 in words is "eighty-five billion, eighty million, eight hundred forty-four thousand, eight hundred".