20802304579680 has 576 divisors, whose sum is σ = 77268546613440. Its totient is φ = 5065721856000.

The previous prime is 20802304579657. The next prime is 20802304579691. The reversal of 20802304579680 is 8697540320802.

20802304579680 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 2 + 3 + 0 + 4 + 579 + 68 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2758556710 + ... + 2758564250.

It is an arithmetic number, because the mean of its divisors is an integer number (134146782315).

Almost surely, 2^{20802304579680} is an apocalyptic number.

20802304579680 is a gapful number since it is divisible by the number (20) 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 20802304579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38634273306720).

20802304579680 is an abundant number, since it is smaller than the sum of its proper divisors (56466242033760).

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

20802304579680 is a wasteful number, since it uses less digits than its factorization.

20802304579680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9135 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 20802304579680 in words is "twenty trillion, eight hundred two billion, three hundred four million, five hundred seventy-nine thousand, six hundred eighty".