20586869934480 has 480 divisors, whose sum is σ = 73138639077504. Its totient is φ = 5380375891968.

The previous prime is 20586869934443. The next prime is 20586869934481. The reversal of 20586869934480 is 8443996868502.

It is a happy number.

20586869934480 is a `hidden beast` number, since 2 + 0 + 5 + 86 + 8 + 69 + 9 + 3 + 4 + 480 = 666.

It is a super-3 number, since 3×20586869934480³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 20586869934399 and 20586869934408.

It is not an unprimeable number, because it can be changed into a prime (20586869934481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 256548444 + ... + 256628676.

Almost surely, 2^{20586869934480} is an apocalyptic number.

20586869934480 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 20586869934480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36569319538752).

20586869934480 is an abundant number, since it is smaller than the sum of its proper divisors (52551769143024).

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

20586869934480 is a wasteful number, since it uses less digits than its factorization.

20586869934480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80525 (or 80507 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 20586869934480 in words is "twenty trillion, five hundred eighty-six billion, eight hundred sixty-nine million, nine hundred thirty-four thousand, four hundred eighty".