21324216131328 has 864 divisors, whose sum is σ = 69007781606400. Its totient is φ = 5813759508480.

The previous prime is 21324216131327. The next prime is 21324216131341. The reversal of 21324216131328 is 82313161242312.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21324216131327) 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 95 ways as a sum of consecutive naturals, for example, 4718788653 + ... + 4718793171.

It is an arithmetic number, because the mean of its divisors is an integer number (79870117600).

Almost surely, 2^{21324216131328} 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 21324216131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34503890803200).

21324216131328 is an abundant number, since it is smaller than the sum of its proper divisors (47683565475072).

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

21324216131328 is a wasteful number, since it uses less digits than its factorization.

21324216131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4684 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The spelling of 21324216131328 in words is "twenty-one trillion, three hundred twenty-four billion, two hundred sixteen million, one hundred thirty-one thousand, three hundred twenty-eight".