9804350160 has 1120 divisors, whose sum is σ = 42155873280. Its totient is φ = 2090188800.

The previous prime is 9804350141. The next prime is 9804350219. The reversal of 9804350160 is 610534089.

9804350160 is a `hidden beast` number, since 98 + 0 + 4 + 3 + 501 + 60 = 666.

It is a super-2 number, since 2×9804350160² (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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 316269345 + ... + 316269375.

Almost surely, 2^9804350160 is an apocalyptic number.

9804350160 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 9804350160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21077936640).

9804350160 is an abundant number, since it is smaller than the sum of its proper divisors (32351523120).

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

9804350160 is a wasteful number, since it uses less digits than its factorization.

9804350160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

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

The square root of 9804350160 is about 99016.9185543562. The cubic root of 9804350160 is about 2140.2915548846.

The spelling of 9804350160 in words is "nine billion, eight hundred four million, three hundred fifty thousand, one hundred sixty".