11033032320 has 192 divisors, whose sum is σ = 38450154600. Its totient is φ = 2914983936.

The previous prime is 11033032303. The next prime is 11033032327. The reversal of 11033032320 is 2323033011.

11033032320 is a `hidden beast` number, since 1 + 10 + 330 + 3 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10301438016 + 731594304 = 101496^2 + 27048^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11033032293 and 11033032302.

It is not an unprimeable number, because it can be changed into a prime (11033032327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619054 + ... + 636626.

Almost surely, 2^11033032320 is an apocalyptic number.

11033032320 is a gapful number since it is divisible by the number (10) 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 11033032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19225077300).

11033032320 is an abundant number, since it is smaller than the sum of its proper divisors (27417122280).

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

11033032320 is a wasteful number, since it uses less digits than its factorization.

11033032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17707 (or 17692 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11033032320 its reverse (2323033011), we get a palindrome (13356065331).

The spelling of 11033032320 in words is "eleven billion, thirty-three million, thirty-two thousand, three hundred twenty".