11135800 has 48 divisors (see below), whose sum is σ = 27888840. Its totient is φ = 4110720.

The previous prime is 11135791. The next prime is 11135801. The reversal of 11135800 is 853111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11135801) by changing a digit.

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, 459 + ... + 4741.

Almost surely, 2^11135800 is an apocalyptic number.

11135800 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 11135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944420).

11135800 is an abundant number, since it is smaller than the sum of its proper divisors (16753040).

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

11135800 is a wasteful number, since it uses less digits than its factorization.

11135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 11135800 is about 3337.0346117474. The cubic root of 11135800 is about 223.3094699881.

Adding to 11135800 its reverse (853111), we get a palindrome (11988911).

It can be divided in two parts, 11135 and 800, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 11135800 in words is "eleven million, one hundred thirty-five thousand, eight hundred".