20559052800 has 1080 divisors, whose sum is σ = 89225851680. Its totient is φ = 4600627200.

The previous prime is 20559052753. The next prime is 20559052831. The reversal of 20559052800 is 825095502.

20559052800 is a `hidden beast` number, since 20 + 559 + 0 + 5 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1581465594 + ... + 1581465606.

Almost surely, 2^20559052800 is an apocalyptic number.

20559052800 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 20559052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44612925840).

20559052800 is an abundant number, since it is smaller than the sum of its proper divisors (68666798880).

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

20559052800 is a wasteful number, since it uses less digits than its factorization.

20559052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 20559052800 in words is "twenty billion, five hundred fifty-nine million, fifty-two thousand, eight hundred".