9882810000 has 900 divisors, whose sum is σ = 42195705552. Its totient is φ = 2231712000.

The previous prime is 9882809999. The next prime is 9882810017. The reversal of 9882810000 is 182889.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×9882810000² (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 an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 119069959 + ... + 119070041.

Almost surely, 2^9882810000 is an apocalyptic number.

9882810000 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 9882810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097852776).

9882810000 is an abundant number, since it is smaller than the sum of its proper divisors (32312895552).

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

9882810000 is an equidigital number, since it uses as much as digits as its factorization.

9882810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 9882810000 is about 99412.3231797749. The cubic root of 9882810000 is about 2145.9856587963.

Adding to 9882810000 its reverse (182889), we get a palindrome (9882992889).

The spelling of 9882810000 in words is "nine billion, eight hundred eighty-two million, eight hundred ten thousand".