11105246880 has 1152 divisors, whose sum is σ = 50203722240. Its totient is φ = 2242805760.

The previous prime is 11105246869. The next prime is 11105246909. The reversal of 11105246880 is 8864250111.

11105246880 is a `hidden beast` number, since 1 + 110 + 5 + 2 + 468 + 80 = 666.

11105246880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209532934 + ... + 209532986.

It is an arithmetic number, because the mean of its divisors is an integer number (43579620).

Almost surely, 2^11105246880 is an apocalyptic number.

11105246880 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 11105246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25101861120).

11105246880 is an abundant number, since it is smaller than the sum of its proper divisors (39098475360).

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

11105246880 is a wasteful number, since it uses less digits than its factorization.

11105246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 11105246880 its reverse (8864250111), we get a palindrome (19969496991).

The spelling of 11105246880 in words is "eleven billion, one hundred five million, two hundred forty-six thousand, eight hundred eighty".