11004451920 has 960 divisors, whose sum is σ = 50213928960. Its totient is φ = 2090188800.

The previous prime is 11004451907. The next prime is 11004451921. The reversal of 11004451920 is 2915440011.

11004451920 is a `hidden beast` number, since 1 + 100 + 44 + 519 + 2 + 0 = 666.

11004451920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004451921) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 32653992 + ... + 32654328.

It is an arithmetic number, because the mean of its divisors is an integer number (52306176).

Almost surely, 2^11004451920 is an apocalyptic number.

11004451920 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 11004451920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25106964480).

11004451920 is an abundant number, since it is smaller than the sum of its proper divisors (39209477040).

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

11004451920 is a wasteful number, since it uses less digits than its factorization.

11004451920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11004451920 its reverse (2915440011), we get a palindrome (13919891931).

The spelling of 11004451920 in words is "eleven billion, four million, four hundred fifty-one thousand, nine hundred twenty".