11311225600 has 162 divisors, whose sum is σ = 28796466804. Its totient is φ = 4398796800.

The previous prime is 11311225589. The next prime is 11311225631. The reversal of 11311225600 is 652211311.

It is a happy number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 8760955 + ... + 8762245.

Almost surely, 2^11311225600 is an apocalyptic number.

11311225600 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 11311225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14398233402).

11311225600 is an abundant number, since it is smaller than the sum of its proper divisors (17485241204).

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

11311225600 is an equidigital number, since it uses as much as digits as its factorization.

11311225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 11311225600 its reverse (652211311), we get a palindrome (11963436911).

The spelling of 11311225600 in words is "eleven billion, three hundred eleven million, two hundred twenty-five thousand, six hundred".