20979164983368 has 256 divisors, whose sum is σ = 57790817280000. Its totient is φ = 6321421301760.

The previous prime is 20979164983367. The next prime is 20979164983397. The reversal of 20979164983368 is 86338946197902.

It is a self number, because there is not a number n which added to its sum of digits gives 20979164983368.

It is not an unprimeable number, because it can be changed into a prime (20979164983367) by changing a digit.

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, 597186028 + ... + 597221156.

It is an arithmetic number, because the mean of its divisors is an integer number (225745380000).

Almost surely, 2^{20979164983368} 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 20979164983368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28895408640000).

20979164983368 is an abundant number, since it is smaller than the sum of its proper divisors (36811652296632).

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

20979164983368 is a wasteful number, since it uses less digits than its factorization.

20979164983368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35780 (or 35776 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 75.

The spelling of 20979164983368 in words is "twenty trillion, nine hundred seventy-nine billion, one hundred sixty-four million, nine hundred eighty-three thousand, three hundred sixty-eight".