200066509656 has 512 divisors, whose sum is σ = 639959040000. Its totient is φ = 57474593280.

The previous prime is 200066509651. The next prime is 200066509673. The reversal of 200066509656 is 656905660002.

200066509656 is a `hidden beast` number, since 20 + 0 + 0 + 66 + 509 + 65 + 6 = 666.

200066509656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200066509651) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 323208915 + ... + 323209533.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920000).

Almost surely, 2^200066509656 is an apocalyptic number.

200066509656 is a gapful number since it is divisible by the number (26) 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 200066509656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319979520000).

200066509656 is an abundant number, since it is smaller than the sum of its proper divisors (439892530344).

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

200066509656 is a wasteful number, since it uses less digits than its factorization.

200066509656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 200066509656 in words is "two hundred billion, sixty-six million, five hundred nine thousand, six hundred fifty-six".