21804803583408 has 400 divisors, whose sum is σ = 67434601766400. Its totient is φ = 6782293140480.

The previous prime is 21804803583341. The next prime is 21804803583463. The reversal of 21804803583408 is 80438530840812.

21804803583408 is a `hidden beast` number, since 2 + 1 + 80 + 4 + 80 + 3 + 5 + 83 + 408 = 666.

It is a super-2 number, since 2×21804803583408² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 576355053 + ... + 576392883.

It is an arithmetic number, because the mean of its divisors is an integer number (168586504416).

Almost surely, 2^{21804803583408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21804803583408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33717300883200).

21804803583408 is an abundant number, since it is smaller than the sum of its proper divisors (45629798182992).

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

21804803583408 is a wasteful number, since it uses less digits than its factorization.

21804803583408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38222 (or 38207 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 21804803583408 in words is "twenty-one trillion, eight hundred four billion, eight hundred three million, five hundred eighty-three thousand, four hundred eight".