11534400400 has 60 divisors (see below), whose sum is σ = 27738488512. Its totient is φ = 4609249920.

The previous prime is 11534400323. The next prime is 11534400407. The reversal of 11534400400 is 400443511.

11534400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11534400407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 411637 + ... + 438763.

Almost surely, 2^11534400400 is an apocalyptic number.

11534400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11534400400 is an abundant number, since it is smaller than the sum of its proper divisors (16204088112).

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

11534400400 is a wasteful number, since it uses less digits than its factorization.

11534400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28208 (or 28197 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 11534400400 its reverse (400443511), we get a palindrome (11934843911).

The spelling of 11534400400 in words is "eleven billion, five hundred thirty-four million, four hundred thousand, four hundred".