20559583408 has 320 divisors, whose sum is σ = 53196595200. Its totient is φ = 7478231040.

The previous prime is 20559583399. The next prime is 20559583453. The reversal of 20559583408 is 80438595502.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147910603 + ... + 147910741.

It is an arithmetic number, because the mean of its divisors is an integer number (166239360).

Almost surely, 2^20559583408 is an apocalyptic number.

20559583408 is a gapful number since it is divisible by the number (28) 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 20559583408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598297600).

20559583408 is an abundant number, since it is smaller than the sum of its proper divisors (32637011792).

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

20559583408 is a wasteful number, since it uses less digits than its factorization.

20559583408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

The spelling of 20559583408 in words is "twenty billion, five hundred fifty-nine million, five hundred eighty-three thousand, four hundred eight".