9801305856 has 252 divisors, whose sum is σ = 30361310280. Its totient is φ = 3152701440.

The previous prime is 9801305821. The next prime is 9801305873. The reversal of 9801305856 is 6585031089.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5411191 + ... + 5413001.

It is an arithmetic number, because the mean of its divisors is an integer number (120481390).

Almost surely, 2^9801305856 is an apocalyptic number.

9801305856 is a gapful number since it is divisible by the number (96) 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 9801305856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180655140).

9801305856 is an abundant number, since it is smaller than the sum of its proper divisors (20560004424).

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

9801305856 is an equidigital number, since it uses as much as digits as its factorization.

9801305856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 9801305856 is about 99001.5447152215. The cubic root of 9801305856 is about 2140.0700078999.

The spelling of 9801305856 in words is "nine billion, eight hundred one million, three hundred five thousand, eight hundred fifty-six".