9805505580 has 288 divisors, whose sum is σ = 32691859200. Its totient is φ = 2364493824.

The previous prime is 9805505569. The next prime is 9805505587. The reversal of 9805505580 is 855055089.

9805505580 is a `hidden beast` number, since 98 + 0 + 5 + 5 + 0 + 558 + 0 = 666.

It is a super-3 number, since 3×9805505580³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (9805505587) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41027101 + ... + 41027339.

It is an arithmetic number, because the mean of its divisors is an integer number (113513400).

Almost surely, 2^9805505580 is an apocalyptic number.

9805505580 is a gapful number since it is divisible by the number (90) 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 9805505580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345929600).

9805505580 is an abundant number, since it is smaller than the sum of its proper divisors (22886353620).

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

9805505580 is a wasteful number, since it uses less digits than its factorization.

9805505580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The square root of 9805505580 is about 99022.7528399408. The cubic root of 9805505580 is about 2140.3756277193.

The spelling of 9805505580 in words is "nine billion, eight hundred five million, five hundred five thousand, five hundred eighty".