11500430400 has 126 divisors (see below), whose sum is σ = 40875296202. Its totient is φ = 3066777600.

The previous prime is 11500430377. The next prime is 11500430401. The reversal of 11500430400 is 403400511.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1893294144 + 9607136256 = 43512^2 + 98016^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11500430401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 384921 + ... + 413720.

Almost surely, 2^11500430400 is an apocalyptic number.

11500430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11500430400 is an abundant number, since it is smaller than the sum of its proper divisors (29374865802).

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

11500430400 is a wasteful number, since it uses less digits than its factorization.

11500430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798669 (or 798651 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 11500430400 its reverse (403400511), we get a palindrome (11903830911).

The spelling of 11500430400 in words is "eleven billion, five hundred million, four hundred thirty thousand, four hundred".