80585845600 has 144 divisors (see below), whose sum is σ = 212070676608. Its totient is φ = 29725655040.

The previous prime is 80585845597. The next prime is 80585845601. The reversal of 80585845600 is 654858508.

It is a happy number.

It is a super-2 number, since 2×80585845600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80585845601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12653617 + ... + 12659983.

It is an arithmetic number, because the mean of its divisors is an integer number (1472713032).

Almost surely, 2^80585845600 is an apocalyptic number.

80585845600 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 80585845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106035338304).

80585845600 is an abundant number, since it is smaller than the sum of its proper divisors (131484831008).

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

80585845600 is a wasteful number, since it uses less digits than its factorization.

80585845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7617 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 49.

The spelling of 80585845600 in words is "eighty billion, five hundred eighty-five million, eight hundred forty-five thousand, six hundred".