20580814917 has 72 divisors (see below), whose sum is σ = 34058768744. Its totient is φ = 11895787008.

The previous prime is 20580814909. The next prime is 20580814921. The reversal of 20580814917 is 71941808502.

20580814917 is a `hidden beast` number, since 2 + 0 + 5 + 80 + 81 + 491 + 7 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 697276836 + 19883538081 = 26406^2 + 141009^2 .

It is not a de Polignac number, because 20580814917 - 2³ = 20580814909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20580814937) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3637863 + ... + 3643515.

Almost surely, 2^20580814917 is an apocalyptic number.

It is an amenable number.

20580814917 is a deficient number, since it is larger than the sum of its proper divisors (13477953827).

20580814917 is a wasteful number, since it uses less digits than its factorization.

20580814917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 20580814917 in words is "twenty billion, five hundred eighty million, eight hundred fourteen thousand, nine hundred seventeen".