20782305374085 has 40 divisors (see below), whose sum is σ = 37303161503256. Its totient is φ = 11069331125760.

The previous prime is 20782305374023. The next prime is 20782305374087. The reversal of 20782305374085 is 58047350328702.

20782305374085 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 23 + 0 + 537 + 4 + 0 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1848397955364 + 18933907418721 = 1359558^2 + 4351311^2 .

It is not a de Polignac number, because 20782305374085 - 2³³ = 20773715439493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20782305374087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33406864 + ... + 34023273.

Almost surely, 2^{20782305374085} is an apocalyptic number.

It is an amenable number.

20782305374085 is a deficient number, since it is larger than the sum of its proper divisors (16520856129171).

20782305374085 is an equidigital number, since it uses as much as digits as its factorization.

20782305374085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67430915 (or 67430906 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 20782305374085 in words is "twenty trillion, seven hundred eighty-two billion, three hundred five million, three hundred seventy-four thousand, eighty-five".