9866823120 has 1440 divisors, whose sum is σ = 47758014720. Its totient is φ = 1765048320.

The previous prime is 9866823119. The next prime is 9866823173. The reversal of 9866823120 is 213286689.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 340235266 + ... + 340235294.

It is an arithmetic number, because the mean of its divisors is an integer number (33165288).

Almost surely, 2^9866823120 is an apocalyptic number.

9866823120 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 9866823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23879007360).

9866823120 is an abundant number, since it is smaller than the sum of its proper divisors (37891191600).

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

9866823120 is a wasteful number, since it uses less digits than its factorization.

9866823120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9866823120 is about 99331.8837030689. The cubic root of 9866823120 is about 2144.8278864949.

The spelling of 9866823120 in words is "nine billion, eight hundred sixty-six million, eight hundred twenty-three thousand, one hundred twenty".