20586820608 has 132 divisors (see below), whose sum is σ = 60059430340. Its totient is φ = 6791233536.

The previous prime is 20586820547. The next prime is 20586820627. The reversal of 20586820608 is 80602868502.

20586820608 is a `hidden beast` number, since 2 + 0 + 586 + 8 + 2 + 0 + 60 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14584909824 + 6001910784 = 120768^2 + 77472^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 882438 + ... + 905466.

Almost surely, 2^20586820608 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 20586820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30029715170).

20586820608 is an abundant number, since it is smaller than the sum of its proper divisors (39472609732).

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

20586820608 is a wasteful number, since it uses less digits than its factorization.

20586820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23152 (or 23131 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 20586820608 in words is "twenty billion, five hundred eighty-six million, eight hundred twenty thousand, six hundred eight".