11286467200 has 192 divisors, whose sum is σ = 28794942720. Its totient is φ = 4368896000.

The previous prime is 11286467173. The next prime is 11286467201. The reversal of 11286467200 is 276468211.

It is a self number, because there is not a number n which added to its sum of digits gives 11286467200.

It is not an unprimeable number, because it can be changed into a prime (11286467201) 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 23 ways as a sum of consecutive naturals, for example, 15190029 + ... + 15190771.

It is an arithmetic number, because the mean of its divisors is an integer number (149973660).

Almost surely, 2^11286467200 is an apocalyptic number.

11286467200 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 11286467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397471360).

11286467200 is an abundant number, since it is smaller than the sum of its proper divisors (17508475520).

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

11286467200 is a wasteful number, since it uses less digits than its factorization.

11286467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 11286467200 in words is "eleven billion, two hundred eighty-six million, four hundred sixty-seven thousand, two hundred".