11155430400 has 132 divisors (see below), whose sum is σ = 36869532312. Its totient is φ = 2974760960.

The previous prime is 11155430357. The next prime is 11155430453. The reversal of 11155430400 is 403455111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4174 + ... + 149426.

Almost surely, 2^11155430400 is an apocalyptic number.

11155430400 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 11155430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434766156).

11155430400 is an abundant number, since it is smaller than the sum of its proper divisors (25714101912).

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

11155430400 is a wasteful number, since it uses less digits than its factorization.

11155430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145286 (or 145263 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11155430400 its reverse (403455111), we get a palindrome (11558885511).

The spelling of 11155430400 in words is "eleven billion, one hundred fifty-five million, four hundred thirty thousand, four hundred".