20982022702368 has 768 divisors, whose sum is σ = 70142945918976. Its totient is φ = 5345065635840.

The previous prime is 20982022702349. The next prime is 20982022702379. The reversal of 20982022702368 is 86320722028902.

It is a super-5 number, since 5×20982022702368⁵ (a number of 68 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 20982022702368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11002632871 + ... + 11002634777.

It is an arithmetic number, because the mean of its divisors is an integer number (91331960832).

Almost surely, 2^{20982022702368} is an apocalyptic number.

20982022702368 is a gapful number since it is divisible by the number (28) 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 20982022702368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35071472959488).

20982022702368 is an abundant number, since it is smaller than the sum of its proper divisors (49160923216608).

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

20982022702368 is a wasteful number, since it uses less digits than its factorization.

20982022702368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 20982022702368 in words is "twenty trillion, nine hundred eighty-two billion, twenty-two million, seven hundred two thousand, three hundred sixty-eight".