11004484204800 has 648 divisors, whose sum is σ = 41442451159200. Its totient is φ = 2778186055680.

The previous prime is 11004484204799. The next prime is 11004484204823. The reversal of 11004484204800 is 840248440011.

11004484204800 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 448 + 4 + 204 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×11004484204800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 2329975239 + ... + 2329979961.

Almost surely, 2^{11004484204800} is an apocalyptic number.

11004484204800 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 11004484204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20721225579600).

11004484204800 is an abundant number, since it is smaller than the sum of its proper divisors (30437966954400).

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

11004484204800 is a wasteful number, since it uses less digits than its factorization.

11004484204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 11004484204800 in words is "eleven trillion, four billion, four hundred eighty-four million, two hundred four thousand, eight hundred".