9805168880 has 320 divisors, whose sum is σ = 27729475200. Its totient is φ = 3196108800.

The previous prime is 9805168871. The next prime is 9805168889. The reversal of 9805168880 is 888615089.

It is an interprime number because it is at equal distance from previous prime (9805168871) and next prime (9805168889).

It is a super-2 number, since 2×9805168880² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9805168889) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 97080830 + ... + 97080930.

It is an arithmetic number, because the mean of its divisors is an integer number (86654610).

Almost surely, 2^9805168880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9805168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13864737600).

9805168880 is an abundant number, since it is smaller than the sum of its proper divisors (17924306320).

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

9805168880 is a wasteful number, since it uses less digits than its factorization.

9805168880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 53.

The square root of 9805168880 is about 99021.0527110271. The cubic root of 9805168880 is about 2140.3511288050.

The spelling of 9805168880 in words is "nine billion, eight hundred five million, one hundred sixty-eight thousand, eight hundred eighty".