20590085616 has 80 divisors (see below), whose sum is σ = 54397661184. Its totient is φ = 6708074752.

The previous prime is 20590085587. The next prime is 20590085617. The reversal of 20590085616 is 61658009502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20590085617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1737985 + ... + 1749791.

Almost surely, 2^20590085616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20590085616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27198830592).

20590085616 is an abundant number, since it is smaller than the sum of its proper divisors (33807575568).

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

20590085616 is a wasteful number, since it uses less digits than its factorization.

20590085616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12638 (or 12632 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 20590085616 in words is "twenty billion, five hundred ninety million, eighty-five thousand, six hundred sixteen".