11225336760 has 384 divisors, whose sum is σ = 42664527360. Its totient is φ = 2531865600.

The previous prime is 11225336753. The next prime is 11225336767. The reversal of 11225336760 is 6763352211.

11225336760 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 533 + 67 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11225336753) and next prime (11225336767).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11225336767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3368295 + ... + 3371625.

It is an arithmetic number, because the mean of its divisors is an integer number (111105540).

Almost surely, 2^11225336760 is an apocalyptic number.

11225336760 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 11225336760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332263680).

11225336760 is an abundant number, since it is smaller than the sum of its proper divisors (31439190600).

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

11225336760 is a wasteful number, since it uses less digits than its factorization.

11225336760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 11225336760 its reverse (6763352211), we get a palindrome (17988688971).

The spelling of 11225336760 in words is "eleven billion, two hundred twenty-five million, three hundred thirty-six thousand, seven hundred sixty".