11533200000 has 384 divisors, whose sum is σ = 43793447040. Its totient is φ = 2634240000.

The previous prime is 11533199989. The next prime is 11533200043. The reversal of 11533200000 is 233511.

It is a happy number.

11533200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8399314 + ... + 8400686.

It is an arithmetic number, because the mean of its divisors is an integer number (114045435).

Almost surely, 2^11533200000 is an apocalyptic number.

11533200000 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 11533200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21896723520).

11533200000 is an abundant number, since it is smaller than the sum of its proper divisors (32260247040).

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

11533200000 is an frugal number, since it uses more digits than its factorization.

11533200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 11533200000 its reverse (233511), we get a palindrome (11533433511).

The spelling of 11533200000 in words is "eleven billion, five hundred thirty-three million, two hundred thousand".