11055224134656 has 1760 divisors, whose sum is σ = 39236791193600. Its totient is φ = 3088343531520.

The previous prime is 11055224134609. The next prime is 11055224134673. The reversal of 11055224134656 is 65643142255011.

11055224134656 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 522 + 41 + 34 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 107332273101 + ... + 107332273203.

It is an arithmetic number, because the mean of its divisors is an integer number (22293631360).

Almost surely, 2^{11055224134656} is an apocalyptic number.

11055224134656 is a gapful number since it is divisible by the number (16) 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 11055224134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19618395596800).

11055224134656 is an abundant number, since it is smaller than the sum of its proper divisors (28181567058944).

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

11055224134656 is a wasteful number, since it uses less digits than its factorization.

11055224134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Adding to 11055224134656 its reverse (65643142255011), we get a palindrome (76698366389667).

The spelling of 11055224134656 in words is "eleven trillion, fifty-five billion, two hundred twenty-four million, one hundred thirty-four thousand, six hundred fifty-six".