20968363584 has 336 divisors, whose sum is σ = 73177603200. Its totient is φ = 5603770368.

The previous prime is 20968363543. The next prime is 20968363597. The reversal of 20968363584 is 48536386902.

20968363584 is a `hidden beast` number, since 20 + 9 + 6 + 8 + 36 + 3 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20968363584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12268522 + ... + 12270230.

Almost surely, 2^20968363584 is an apocalyptic number.

20968363584 is a gapful number since it is divisible by the number (24) 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 20968363584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36588801600).

20968363584 is an abundant number, since it is smaller than the sum of its proper divisors (52209239616).

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

20968363584 is a wasteful number, since it uses less digits than its factorization.

20968363584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 20968363584 in words is "twenty billion, nine hundred sixty-eight million, three hundred sixty-three thousand, five hundred eighty-four".