9099820800 has 432 divisors, whose sum is σ = 38140058880. Its totient is φ = 2079682560.

The previous prime is 9099820789. The next prime is 9099820801. The reversal of 9099820800 is 80289909.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×9099820800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9099820801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205839 + ... + 1213361.

Almost surely, 2^9099820800 is an apocalyptic number.

9099820800 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 9099820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070029440).

9099820800 is an abundant number, since it is smaller than the sum of its proper divisors (29040238080).

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

9099820800 is a wasteful number, since it uses less digits than its factorization.

9099820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7565 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9099820800 is about 95392.9808738568. The cubic root of 9099820800 is about 2087.7457743061.

The spelling of 9099820800 in words is "nine billion, ninety-nine million, eight hundred twenty thousand, eight hundred".