11045011824 has 320 divisors, whose sum is σ = 40805007360. Its totient is φ = 2776032000.

The previous prime is 11045011753. The next prime is 11045011849. The reversal of 11045011824 is 42811054011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025829 + ... + 1036539.

It is an arithmetic number, because the mean of its divisors is an integer number (127515648).

Almost surely, 2^11045011824 is an apocalyptic number.

11045011824 is a gapful number since it is divisible by the number (14) 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 11045011824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20402503680).

11045011824 is an abundant number, since it is smaller than the sum of its proper divisors (29759995536).

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

11045011824 is a wasteful number, since it uses less digits than its factorization.

11045011824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10777 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 11045011824 its reverse (42811054011), we get a palindrome (53856065835).

The spelling of 11045011824 in words is "eleven billion, forty-five million, eleven thousand, eight hundred twenty-four".