1105511011056 has 120 divisors (see below), whose sum is σ = 3142707697584. Its totient is φ = 362733696000.

The previous prime is 1105511011051. The next prime is 1105511011057. The reversal of 1105511011056 is 6501101155011.

1105511011056 is a `hidden beast` number, since 1 + 1 + 0 + 551 + 1 + 0 + 1 + 105 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105511011051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2190556 + ... + 2647556.

Almost surely, 2^{1105511011056} is an apocalyptic number.

1105511011056 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 1105511011056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571353848792).

1105511011056 is an abundant number, since it is smaller than the sum of its proper divisors (2037196686528).

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

1105511011056 is a wasteful number, since it uses less digits than its factorization.

1105511011056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457279 (or 457270 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

Adding to 1105511011056 its reverse (6501101155011), we get a palindrome (7606612166067).

The spelling of 1105511011056 in words is "one trillion, one hundred five billion, five hundred eleven million, eleven thousand, fifty-six".