11580816200 has 24 divisors (see below), whose sum is σ = 26925398130. Its totient is φ = 4632326400.

The previous prime is 11580816199. The next prime is 11580816209. The reversal of 11580816200 is 261808511.

It can be written as a sum of positive squares in 3 ways, for example, as 10082971396 + 1497844804 = 100414^2 + 38702^2 .

It is not an unprimeable number, because it can be changed into a prime (11580816209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28951841 + ... + 28952240.

Almost surely, 2^11580816200 is an apocalyptic number.

11580816200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11580816200 is an abundant number, since it is smaller than the sum of its proper divisors (15344581930).

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

11580816200 is a wasteful number, since it uses less digits than its factorization.

11580816200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57904097 (or 57904088 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

The spelling of 11580816200 in words is "eleven billion, five hundred eighty million, eight hundred sixteen thousand, two hundred".