9055735200 has 432 divisors, whose sum is σ = 34037508960. Its totient is φ = 2347729920.

The previous prime is 9055735147. The next prime is 9055735223. The reversal of 9055735200 is 25375509.

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

It is a super-3 number, since 3×9055735200³ (a number of 31 digits) contains 333 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 71 ways as a sum of consecutive naturals, for example, 7192171 + ... + 7193429.

It is an arithmetic number, because the mean of its divisors is an integer number (78790530).

Almost surely, 2^9055735200 is an apocalyptic number.

9055735200 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 9055735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17018754480).

9055735200 is an abundant number, since it is smaller than the sum of its proper divisors (24981773760).

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

9055735200 is a wasteful number, since it uses less digits than its factorization.

9055735200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 9055735200 is about 95161.6267200178. The cubic root of 9055735200 is about 2084.3688374746.

The spelling of 9055735200 in words is "nine billion, fifty-five million, seven hundred thirty-five thousand, two hundred".