11003320230400 has 480 divisors, whose sum is σ = 29157104718720. Its totient is φ = 4100751360000.

The previous prime is 11003320230323. The next prime is 11003320230449. The reversal of 11003320230400 is 403202330011.

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 47 ways as a sum of consecutive naturals, for example, 17775961291 + ... + 17775961909.

It is an arithmetic number, because the mean of its divisors is an integer number (60743968164).

Almost surely, 2^{11003320230400} is an apocalyptic number.

11003320230400 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 11003320230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14578552359360).

11003320230400 is an abundant number, since it is smaller than the sum of its proper divisors (18153784488320).

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

11003320230400 is a wasteful number, since it uses less digits than its factorization.

11003320230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 11003320230400 its reverse (403202330011), we get a palindrome (11406522560411).

The spelling of 11003320230400 in words is "eleven trillion, three billion, three hundred twenty million, two hundred thirty thousand, four hundred".