20585445216120 has 96 divisors (see below), whose sum is σ = 66903640549200. Its totient is φ = 5489374634496.

The previous prime is 20585445216113. The next prime is 20585445216131. The reversal of 20585445216120 is 2161254458502.

20585445216120 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 5 + 4 + 4 + 5 + 21 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27915111 + ... + 28643049.

Almost surely, 2^{20585445216120} is an apocalyptic number.

20585445216120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20585445216120 is an abundant number, since it is smaller than the sum of its proper divisors (46318195333080).

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

20585445216120 is a wasteful number, since it uses less digits than its factorization.

20585445216120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806509 (or 806502 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 20585445216120 in words is "twenty trillion, five hundred eighty-five billion, four hundred forty-five million, two hundred sixteen thousand, one hundred twenty".