21330224561000 has 128 divisors (see below), whose sum is σ = 50603959785600. Its totient is φ = 8413964812800.

The previous prime is 21330224560943. The next prime is 21330224561003. The reversal of 21330224561000 is 16542203312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21330224561003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 610481531 + ... + 610516469.

It is an arithmetic number, because the mean of its divisors is an integer number (395343435825).

Almost surely, 2^{21330224561000} is an apocalyptic number.

21330224561000 is a gapful number since it is divisible by the number (20) 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 21330224561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25301979892800).

21330224561000 is an abundant number, since it is smaller than the sum of its proper divisors (29273735224600).

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

21330224561000 is a wasteful number, since it uses less digits than its factorization.

21330224561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43396 (or 43382 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 21330224561000 its reverse (16542203312), we get a palindrome (21346766764312).

The spelling of 21330224561000 in words is "twenty-one trillion, three hundred thirty billion, two hundred twenty-four million, five hundred sixty-one thousand".