20585705319 has 24 divisors (see below), whose sum is σ = 30925246352. Its totient is φ = 13184881920.

The previous prime is 20585705269. The next prime is 20585705353. The reversal of 20585705319 is 91350758502.

20585705319 is a `hidden beast` number, since 2 + 0 + 585 + 7 + 0 + 53 + 19 = 666.

It is not a de Polignac number, because 20585705319 - 2⁹ = 20585704807 is a prime.

It is a super-2 number, since 2×20585705319² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20585705369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412402 + ... + 459615.

Almost surely, 2^20585705319 is an apocalyptic number.

20585705319 is a deficient number, since it is larger than the sum of its proper divisors (10339541033).

20585705319 is a wasteful number, since it uses less digits than its factorization.

20585705319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872127 (or 872124 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

It can be divided in two parts, 20585 and 705319, that added together give a square (725904 = 852²).

The spelling of 20585705319 in words is "twenty billion, five hundred eighty-five million, seven hundred five thousand, three hundred nineteen".