11152200224 has 72 divisors (see below), whose sum is σ = 24373136844. Its totient is φ = 5018816000.

The previous prime is 11152200223. The next prime is 11152200263. The reversal of 11152200224 is 42200225111.

It can be written as a sum of positive squares in 2 ways, for example, as 8578464400 + 2573735824 = 92620^2 + 50732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11152200196 and 11152200205.

It is not an unprimeable number, because it can be changed into a prime (11152200223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376814 + ... + 405330.

Almost surely, 2^11152200224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11152200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186568422).

11152200224 is an abundant number, since it is smaller than the sum of its proper divisors (13220936620).

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

11152200224 is a wasteful number, since it uses less digits than its factorization.

11152200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28650 (or 28631 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 11152200224 its reverse (42200225111), we get a palindrome (53352425335).

The spelling of 11152200224 in words is "eleven billion, one hundred fifty-two million, two hundred thousand, two hundred twenty-four".