11220375600 has 720 divisors, whose sum is σ = 46975279104. Its totient is φ = 2426112000.

The previous prime is 11220375559. The next prime is 11220375613. The reversal of 11220375600 is 657302211.

It is a happy number.

11220375600 is a `hidden beast` number, since 1 + 1 + 2 + 20 + 37 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41403465 + ... + 41403735.

Almost surely, 2^11220375600 is an apocalyptic number.

11220375600 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 11220375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23487639552).

11220375600 is an abundant number, since it is smaller than the sum of its proper divisors (35754903504).

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

11220375600 is a wasteful number, since it uses less digits than its factorization.

11220375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 11220375600 its reverse (657302211), we get a palindrome (11877677811).

The spelling of 11220375600 in words is "eleven billion, two hundred twenty million, three hundred seventy-five thousand, six hundred".