11900225600 has 168 divisors, whose sum is σ = 29833168680. Its totient is φ = 4671406080.

The previous prime is 11900225551. The next prime is 11900225647. The reversal of 11900225600 is 652200911.

It can be written as a sum of positive squares in 12 ways, for example, as 9034122304 + 2866103296 = 95048^2 + 53536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11900225600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27482984 + ... + 27483416.

It is an arithmetic number, because the mean of its divisors is an integer number (177578385).

Almost surely, 2^11900225600 is an apocalyptic number.

11900225600 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 11900225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916584340).

11900225600 is an abundant number, since it is smaller than the sum of its proper divisors (17932943080).

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

11900225600 is a wasteful number, since it uses less digits than its factorization.

11900225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 11900225600 in words is "eleven billion, nine hundred million, two hundred twenty-five thousand, six hundred".