9897822000 has 640 divisors, whose sum is σ = 40761676800. Its totient is φ = 2270592000.

The previous prime is 9897821993. The next prime is 9897822049. The reversal of 9897822000 is 2287989.

9897822000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11285562 + ... + 11286438.

It is an arithmetic number, because the mean of its divisors is an integer number (63690120).

Almost surely, 2^9897822000 is an apocalyptic number.

9897822000 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 9897822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20380838400).

9897822000 is an abundant number, since it is smaller than the sum of its proper divisors (30863854800).

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

9897822000 is a wasteful number, since it uses less digits than its factorization.

9897822000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9897822000 is about 99487.7982468202. The cubic root of 9897822000 is about 2147.0716939978.

The spelling of 9897822000 in words is "nine billion, eight hundred ninety-seven million, eight hundred twenty-two thousand".