11044300320 has 192 divisors, whose sum is σ = 39017946240. Its totient is φ = 2917499904.

The previous prime is 11044300313. The next prime is 11044300357. The reversal of 11044300320 is 2300344011.

11044300320 is a `hidden beast` number, since 1 + 1 + 0 + 44 + 300 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11044300293 and 11044300302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450294 + ... + 474186.

It is an arithmetic number, because the mean of its divisors is an integer number (203218470).

Almost surely, 2^11044300320 is an apocalyptic number.

11044300320 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 11044300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19508973120).

11044300320 is an abundant number, since it is smaller than the sum of its proper divisors (27973645920).

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

11044300320 is a wasteful number, since it uses less digits than its factorization.

11044300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24024 (or 24010 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11044300320 its reverse (2300344011), we get a palindrome (13344644331).

It can be divided in two parts, 11044 and 300320, that added together give a square (311364 = 558²).

The spelling of 11044300320 in words is "eleven billion, forty-four million, three hundred thousand, three hundred twenty".