20339814418560 has 4608 divisors, whose sum is σ = 98225931847680. Its totient is φ = 3825881579520.

The previous prime is 20339814418537. The next prime is 20339814418579. The reversal of 20339814418560 is 6581441893302.

It is a happy number.

20339814418560 is a `hidden beast` number, since 2 + 0 + 3 + 39 + 8 + 1 + 4 + 41 + 8 + 560 = 666.

It is a super-2 number, since 2×20339814418560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20339814418497 and 20339814418506.

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 575 ways as a sum of consecutive naturals, for example, 129552958002 + ... + 129552958158.

It is an arithmetic number, because the mean of its divisors is an integer number (21316391460).

Almost surely, 2^{20339814418560} is an apocalyptic number.

20339814418560 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 20339814418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49112965923840).

20339814418560 is an abundant number, since it is smaller than the sum of its proper divisors (77886117429120).

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

20339814418560 is a wasteful number, since it uses less digits than its factorization.

20339814418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20339814418560 in words is "twenty trillion, three hundred thirty-nine billion, eight hundred fourteen million, four hundred eighteen thousand, five hundred sixty".