9820810000 has 75 divisors (see below), whose sum is σ = 23801180403. Its totient is φ = 3924360000.

The previous prime is 9820809979. The next prime is 9820810049. The reversal of 9820810000 is 180289.

The square root of 9820810000 is 99100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 769951504 + 9050858496 = 27748^2 + 95136^2 .

It is a super-2 number, since 2×9820810000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9909505 + ... + 9910495.

Almost surely, 2^9820810000 is an apocalyptic number.

9820810000 is the 99100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9820810000

9820810000 is an abundant number, since it is smaller than the sum of its proper divisors (13980370403).

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

9820810000 is an frugal number, since it uses more digits than its factorization.

9820810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The cubic root of 9820810000 is about 2141.4886140102.

Adding to 9820810000 its reverse (180289), we get a palindrome (9820990289).

The spelling of 9820810000 in words is "nine billion, eight hundred twenty million, eight hundred ten thousand".