9053272800 has 720 divisors, whose sum is σ = 38827171152. Its totient is φ = 2023833600.

The previous prime is 9053272783. The next prime is 9053272819. The reversal of 9053272800 is 82723509.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9265912 + ... + 9266888.

Almost surely, 2^9053272800 is an apocalyptic number.

9053272800 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 9053272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413585576).

9053272800 is an abundant number, since it is smaller than the sum of its proper divisors (29773898352).

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

9053272800 is a wasteful number, since it uses less digits than its factorization.

9053272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9053272800 is about 95148.6878522242. The cubic root of 9053272800 is about 2084.1798958816.

The spelling of 9053272800 in words is "nine billion, fifty-three million, two hundred seventy-two thousand, eight hundred".