204241305600000 has 2160 divisors, whose sum is σ = 806122356039000. Its totient is φ = 51597803520000.

The previous prime is 204241305599963. The next prime is 204241305600023. The reversal of 204241305600000 is 6503142402.

204241305600000 is a `hidden beast` number, since 2 + 0 + 4 + 24 + 1 + 30 + 5 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10749542399991 + ... + 10749542400009.

Almost surely, 2^{204241305600000} is an apocalyptic number.

204241305600000 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 204241305600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403061178019500).

204241305600000 is an abundant number, since it is smaller than the sum of its proper divisors (601881050439000).

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

204241305600000 is an frugal number, since it uses more digits than its factorization.

204241305600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 204241305600000 its reverse (6503142402), we get a palindrome (204247808742402).

The spelling of 204241305600000 in words is "two hundred four trillion, two hundred forty-one billion, three hundred five million, six hundred thousand".