11250413200 has 240 divisors, whose sum is σ = 30688035840. Its totient is φ = 3932375040.

The previous prime is 11250413159. The next prime is 11250413219. The reversal of 11250413200 is 231405211.

11250413200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13035969 + ... + 13036831.

It is an arithmetic number, because the mean of its divisors is an integer number (127866816).

Almost surely, 2^11250413200 is an apocalyptic number.

11250413200 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 11250413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344017920).

11250413200 is an abundant number, since it is smaller than the sum of its proper divisors (19437622640).

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

11250413200 is a wasteful number, since it uses less digits than its factorization.

11250413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 11250413200 its reverse (231405211), we get a palindrome (11481818411).

The spelling of 11250413200 in words is "eleven billion, two hundred fifty million, four hundred thirteen thousand, two hundred".