9802185120 has 1152 divisors, whose sum is σ = 45086146560. Its totient is φ = 1881169920.

The previous prime is 9802185109. The next prime is 9802185121. The reversal of 9802185120 is 215812089.

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

It is not an unprimeable number, because it can be changed into a prime (9802185121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77182497 + ... + 77182623.

It is an arithmetic number, because the mean of its divisors is an integer number (39137280).

Almost surely, 2^9802185120 is an apocalyptic number.

9802185120 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 9802185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22543073280).

9802185120 is an abundant number, since it is smaller than the sum of its proper divisors (35283961440).

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

9802185120 is a wasteful number, since it uses less digits than its factorization.

9802185120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 9802185120 is about 99005.9852736187. The cubic root of 9802185120 is about 2140.1340004017.

The spelling of 9802185120 in words is "nine billion, eight hundred two million, one hundred eighty-five thousand, one hundred twenty".