20882694377385 has 288 divisors, whose sum is σ = 40101741519840. Its totient is φ = 10017268531200.

The previous prime is 20882694377339. The next prime is 20882694377387. The reversal of 20882694377385 is 58377349628802.

20882694377385 is a `hidden beast` number, since 2 + 0 + 8 + 82 + 69 + 43 + 77 + 385 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 20758921990416 + 123772386969 = 4556196^2 + 351813^2 .

It is not a de Polignac number, because 20882694377385 - 2¹¹ = 20882694375337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20882694377387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45298686055 + ... + 45298686515.

It is an arithmetic number, because the mean of its divisors is an integer number (139242158055).

Almost surely, 2^{20882694377385} is an apocalyptic number.

It is an amenable number.

20882694377385 is a deficient number, since it is larger than the sum of its proper divisors (19219047142455).

20882694377385 is a wasteful number, since it uses less digits than its factorization.

20882694377385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 20882694377385 in words is "twenty trillion, eight hundred eighty-two billion, six hundred ninety-four million, three hundred seventy-seven thousand, three hundred eighty-five".