20330217322624 has 256 divisors, whose sum is σ = 46437463296000. Its totient is φ = 8775528284160.

The previous prime is 20330217322619. The next prime is 20330217322637. The reversal of 20330217322624 is 42622371203302.

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 31 ways as a sum of consecutive naturals, for example, 7384748832 + ... + 7384751584.

It is an arithmetic number, because the mean of its divisors is an integer number (181396341000).

Almost surely, 2^{20330217322624} 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 20330217322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218731648000).

20330217322624 is an abundant number, since it is smaller than the sum of its proper divisors (26107245973376).

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

20330217322624 is a wasteful number, since it uses less digits than its factorization.

20330217322624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 37.

Adding to 20330217322624 its reverse (42622371203302), we get a palindrome (62952588525926).

The spelling of 20330217322624 in words is "twenty trillion, three hundred thirty billion, two hundred seventeen million, three hundred twenty-two thousand, six hundred twenty-four".