11532234400 has 144 divisors (see below), whose sum is σ = 28770033600. Its totient is φ = 4512604160.

The previous prime is 11532234397. The next prime is 11532234401. The reversal of 11532234400 is 443223511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11532234401) 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, 12413136 + ... + 12414064.

It is an arithmetic number, because the mean of its divisors is an integer number (199791900).

Almost surely, 2^11532234400 is an apocalyptic number.

11532234400 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 11532234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385016800).

11532234400 is an abundant number, since it is smaller than the sum of its proper divisors (17237799200).

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

11532234400 is a wasteful number, since it uses less digits than its factorization.

11532234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 11532234400 its reverse (443223511), we get a palindrome (11975457911).

The spelling of 11532234400 in words is "eleven billion, five hundred thirty-two million, two hundred thirty-four thousand, four hundred".