11128044816000 has 2048 divisors, whose sum is σ = 48418917580800. Its totient is φ = 2458957824000.

The previous prime is 11128044815999. The next prime is 11128044816079. The reversal of 11128044816000 is 61844082111.

11128044816000 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 8 + 0 + 4 + 48 + 1 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30321647817 + ... + 30321648183.

It is an arithmetic number, because the mean of its divisors is an integer number (23642049600).

Almost surely, 2^{11128044816000} is an apocalyptic number.

11128044816000 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 11128044816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24209458790400).

11128044816000 is an abundant number, since it is smaller than the sum of its proper divisors (37290872764800).

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

11128044816000 is a wasteful number, since it uses less digits than its factorization.

11128044816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 11128044816000 its reverse (61844082111), we get a palindrome (11189888898111).

The spelling of 11128044816000 in words is "eleven trillion, one hundred twenty-eight billion, forty-four million, eight hundred sixteen thousand".