20584357312 has 56 divisors (see below), whose sum is σ = 41857428096. Its totient is φ = 10038298368.

The previous prime is 20584357307. The next prime is 20584357361. The reversal of 20584357312 is 21375348502.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2039703 + ... + 2049769.

Almost surely, 2^20584357312 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 20584357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20928714048).

20584357312 is an abundant number, since it is smaller than the sum of its proper divisors (21273070784).

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

20584357312 is a wasteful number, since it uses less digits than its factorization.

20584357312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10865 (or 10855 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 20584357312 in words is "twenty billion, five hundred eighty-four million, three hundred fifty-seven thousand, three hundred twelve".