205055968608000 has 2880 divisors, whose sum is σ = 835071939846144. Its totient is φ = 49816166400000.

The previous prime is 205055968607951. The next prime is 205055968608019. The reversal of 205055968608000 is 806869550502.

205055968608000 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 559 + 6 + 8 + 6 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 105103007025 + ... + 105103008975.

Almost surely, 2^{205055968608000} is an apocalyptic number.

205055968608000 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 205055968608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417535969923072).

205055968608000 is an abundant number, since it is smaller than the sum of its proper divisors (630015971238144).

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

205055968608000 is a wasteful number, since it uses less digits than its factorization.

205055968608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 205055968608000 in words is "two hundred five trillion, fifty-five billion, nine hundred sixty-eight million, six hundred eight thousand".