11011811328 has 576 divisors, whose sum is σ = 39351312000. Its totient is φ = 3009871872.

The previous prime is 11011811311. The next prime is 11011811329. The reversal of 11011811328 is 82311811011.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (11011811329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101025738 + ... + 101025846.

It is an arithmetic number, because the mean of its divisors is an integer number (68318250).

Almost surely, 2^11011811328 is an apocalyptic number.

11011811328 is a gapful number since it is divisible by the number (18) 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 11011811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19675656000).

11011811328 is an abundant number, since it is smaller than the sum of its proper divisors (28339500672).

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

11011811328 is an equidigital number, since it uses as much as digits as its factorization.

11011811328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

The spelling of 11011811328 in words is "eleven billion, eleven million, eight hundred eleven thousand, three hundred twenty-eight".