9999288000 has 560 divisors, whose sum is σ = 39871095264. Its totient is φ = 2459289600.

The previous prime is 9999287941. The next prime is 9999288007. The reversal of 9999288000 is 8829999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9999288007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8423407 + ... + 8424593.

Almost surely, 2^9999288000 is an apocalyptic number.

9999288000 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 9999288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19935547632).

9999288000 is an abundant number, since it is smaller than the sum of its proper divisors (29871807264).

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

9999288000 is a wasteful number, since it uses less digits than its factorization.

9999288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 9999288000 is about 99996.4399366297. The cubic root of 9999288000 is about 2154.3835569017.

The spelling of 9999288000 in words is "nine billion, nine hundred ninety-nine million, two hundred eighty-eight thousand".