21337216606752 has 192 divisors, whose sum is σ = 58519050670080. Its totient is φ = 6798743368704.

The previous prime is 21337216606751. The next prime is 21337216606837. The reversal of 21337216606752 is 25760661273312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21337216606695 and 21337216606704.

It is not an unprimeable number, because it can be changed into a prime (21337216606751) 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, 1584871573 + ... + 1584885035.

It is an arithmetic number, because the mean of its divisors is an integer number (304786722240).

Almost surely, 2^{21337216606752} 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 21337216606752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29259525335040).

21337216606752 is an abundant number, since it is smaller than the sum of its proper divisors (37181834063328).

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

21337216606752 is a wasteful number, since it uses less digits than its factorization.

21337216606752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19135 (or 19127 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 21337216606752 in words is "twenty-one trillion, three hundred thirty-seven billion, two hundred sixteen million, six hundred six thousand, seven hundred fifty-two".