11225433600 has 480 divisors, whose sum is σ = 41815493280. Its totient is φ = 2985984000.

The previous prime is 11225433551. The next prime is 11225433601. The reversal of 11225433600 is 633452211.

11225433600 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 54 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11225433601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27993400 + ... + 27993800.

It is an arithmetic number, because the mean of its divisors is an integer number (87115611).

Almost surely, 2^11225433600 is an apocalyptic number.

11225433600 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 11225433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20907746640).

11225433600 is an abundant number, since it is smaller than the sum of its proper divisors (30590059680).

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

11225433600 is an frugal number, since it uses more digits than its factorization.

11225433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11225433600 its reverse (633452211), we get a palindrome (11858885811).

The spelling of 11225433600 in words is "eleven billion, two hundred twenty-five million, four hundred thirty-three thousand, six hundred".