20559576960 has 768 divisors, whose sum is σ = 83725125120. Its totient is φ = 4600627200.

The previous prime is 20559576937. The next prime is 20559577021. The reversal of 20559576960 is 6967595502.

It is a happy number.

20559576960 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 9 + 576 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20559576897 and 20559576906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39461500 + ... + 39462020.

It is an arithmetic number, because the mean of its divisors is an integer number (109017090).

Almost surely, 2^20559576960 is an apocalyptic number.

20559576960 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 20559576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41862562560).

20559576960 is an abundant number, since it is smaller than the sum of its proper divisors (63165548160).

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

20559576960 is a wasteful number, since it uses less digits than its factorization.

20559576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 20559576960 in words is "twenty billion, five hundred fifty-nine million, five hundred seventy-six thousand, nine hundred sixty".