20305502440200 has 288 divisors, whose sum is σ = 69515431932960. Its totient is φ = 5310477849600.

The previous prime is 20305502440177. The next prime is 20305502440247. The reversal of 20305502440200 is 204420550302.

It is a happy number.

20305502440200 is a `hidden beast` number, since 2 + 0 + 30 + 550 + 24 + 40 + 20 + 0 = 666.

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, 27005340 + ... + 27747060.

It is an arithmetic number, because the mean of its divisors is an integer number (241373027545).

Almost surely, 2^{20305502440200} is an apocalyptic number.

20305502440200 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 20305502440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34757715966480).

20305502440200 is an abundant number, since it is smaller than the sum of its proper divisors (49209929492760).

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

20305502440200 is a wasteful number, since it uses less digits than its factorization.

20305502440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742037 (or 742025 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 20305502440200 its reverse (204420550302), we get a palindrome (20509922990502).

The spelling of 20305502440200 in words is "twenty trillion, three hundred five billion, five hundred two million, four hundred forty thousand, two hundred".