20568382084096 has 704 divisors, whose sum is σ = 55301117921280. Its totient is φ = 7412913930240.

The previous prime is 20568382084057. The next prime is 20568382084127. The reversal of 20568382084096 is 69048028386502.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×20568382084096² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5211141195 + ... + 5211145141.

It is an arithmetic number, because the mean of its divisors is an integer number (78552724320).

Almost surely, 2^{20568382084096} 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 20568382084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27650558960640).

20568382084096 is an abundant number, since it is smaller than the sum of its proper divisors (34732735837184).

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

20568382084096 is a wasteful number, since it uses less digits than its factorization.

20568382084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 20568382084096 in words is "twenty trillion, five hundred sixty-eight billion, three hundred eighty-two million, eighty-four thousand, ninety-six".