20144204125200 has 90 divisors (see below), whose sum is σ = 69905983939194. Its totient is φ = 5371787765760.

The previous prime is 20144204125187. The next prime is 20144204125219. The reversal of 20144204125200 is 252140244102.

It is a happy number.

20144204125200 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 42 + 0 + 412 + 5 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 87277703184 + 20056926422016 = 295428^2 + 4478496^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2797802529 + ... + 2797809728.

Almost surely, 2^{20144204125200} is an apocalyptic number.

20144204125200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20144204125200 is an abundant number, since it is smaller than the sum of its proper divisors (49761779813994).

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

20144204125200 is a wasteful number, since it uses less digits than its factorization.

20144204125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595612281 (or 5595612267 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 20144204125200 its reverse (252140244102), we get a palindrome (20396344369302).

The spelling of 20144204125200 in words is "twenty trillion, one hundred forty-four billion, two hundred four million, one hundred twenty-five thousand, two hundred".