20320564224 has 88 divisors (see below), whose sum is σ = 54205215040. Its totient is φ = 6768082944.

The previous prime is 20320564217. The next prime is 20320564247. The reversal of 20320564224 is 42246502302.

It is a junction number, because it is equal to n+sod(n) for n = 20320564191 and 20320564200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6120837 + ... + 6124155.

Almost surely, 2^20320564224 is an apocalyptic number.

20320564224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20320564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27102607520).

20320564224 is an abundant number, since it is smaller than the sum of its proper divisors (33884650816).

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

20320564224 is a wasteful number, since it uses less digits than its factorization.

20320564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 20320564224 in words is "twenty billion, three hundred twenty million, five hundred sixty-four thousand, two hundred twenty-four".