11310052200 has 384 divisors, whose sum is σ = 38568960000. Its totient is φ = 2732477440.

The previous prime is 11310052199. The next prime is 11310052207. The reversal of 11310052200 is 225001311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11310052200.

It is not an unprimeable number, because it can be changed into a prime (11310052207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23611561 + ... + 23612039.

It is an arithmetic number, because the mean of its divisors is an integer number (100440000).

Almost surely, 2^11310052200 is an apocalyptic number.

11310052200 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 11310052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480000).

11310052200 is an abundant number, since it is smaller than the sum of its proper divisors (27258907800).

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

11310052200 is a wasteful number, since it uses less digits than its factorization.

11310052200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 11310052200 its reverse (225001311), we get a palindrome (11535053511).

The spelling of 11310052200 in words is "eleven billion, three hundred ten million, fifty-two thousand, two hundred".