20585080320 has 480 divisors, whose sum is σ = 80609126400. Its totient is φ = 4455972864.

The previous prime is 20585080297. The next prime is 20585080361. The reversal of 20585080320 is 2308058502.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7148641 + ... + 7151519.

It is an arithmetic number, because the mean of its divisors is an integer number (167935680).

Almost surely, 2^20585080320 is an apocalyptic number.

20585080320 is a gapful number since it is divisible by the number (20) 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 20585080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40304563200).

20585080320 is an abundant number, since it is smaller than the sum of its proper divisors (60024046080).

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

20585080320 is a wasteful number, since it uses less digits than its factorization.

20585080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 20585080320 in words is "twenty billion, five hundred eighty-five million, eighty thousand, three hundred twenty".