820224320000 has 150 divisors (see below), whose sum is σ = 2049182699289. Its totient is φ = 327884800000.

The previous prime is 820224319951. The next prime is 820224320053. The reversal of 820224320000 is 23422028.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

820224320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 156220981504 + 664003338496 = 395248^2 + 814864^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=640400.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 512319200 + ... + 512320800.

Almost surely, 2^820224320000 is an apocalyptic number.

820224320000 is a gapful number since it is divisible by the number (80) 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 820224320000

820224320000 is an abundant number, since it is smaller than the sum of its proper divisors (1228958379289).

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

820224320000 is an frugal number, since it uses more digits than its factorization.

820224320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 820224320000 its reverse (23422028), we get a palindrome (820247742028).

The spelling of 820224320000 in words is "eight hundred twenty billion, two hundred twenty-four million, three hundred twenty thousand".