20859535200 has 432 divisors, whose sum is σ = 79910666640. Its totient is φ = 4711956480.

The previous prime is 20859535181. The next prime is 20859535201. The reversal of 20859535200 is 253595802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20859535201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10465404 + ... + 10467396.

It is an arithmetic number, because the mean of its divisors is an integer number (184978395).

Almost surely, 2^20859535200 is an apocalyptic number.

20859535200 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 20859535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39955333320).

20859535200 is an abundant number, since it is smaller than the sum of its proper divisors (59051131440).

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

20859535200 is a wasteful number, since it uses less digits than its factorization.

20859535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 20859535200 in words is "twenty billion, eight hundred fifty-nine million, five hundred thirty-five thousand, two hundred".