9803122560 has 1152 divisors, whose sum is σ = 45505774080. Its totient is φ = 1885593600.

The previous prime is 9803122531. The next prime is 9803122597. The reversal of 9803122560 is 652213089.

9803122560 is a `hidden beast` number, since 9 + 80 + 3 + 12 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×9803122560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 316229745 + ... + 316229775.

It is an arithmetic number, because the mean of its divisors is an integer number (39501540).

Almost surely, 2^9803122560 is an apocalyptic number.

9803122560 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 9803122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752887040).

9803122560 is an abundant number, since it is smaller than the sum of its proper divisors (35702651520).

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

9803122560 is a wasteful number, since it uses less digits than its factorization.

9803122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9803122560 is about 99010.7194196669. The cubic root of 9803122560 is about 2140.2022227161.

The spelling of 9803122560 in words is "nine billion, eight hundred three million, one hundred twenty-two thousand, five hundred sixty".