20601205200 has 240 divisors, whose sum is σ = 77638959360. Its totient is φ = 5170452480.

The previous prime is 20601205199. The next prime is 20601205213. The reversal of 20601205200 is 250210602.

20601205200 is a `hidden beast` number, since 20 + 6 + 0 + 120 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 127497 + ... + 239703.

It is an arithmetic number, because the mean of its divisors is an integer number (323495664).

Almost surely, 2^20601205200 is an apocalyptic number.

20601205200 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 20601205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38819479680).

20601205200 is an abundant number, since it is smaller than the sum of its proper divisors (57037754160).

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

20601205200 is a wasteful number, since it uses less digits than its factorization.

20601205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112251 (or 112234 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20601205200 its reverse (250210602), we get a palindrome (20851415802).

The spelling of 20601205200 in words is "twenty billion, six hundred one million, two hundred five thousand, two hundred".