205650697109728 has 384 divisors, whose sum is σ = 489479433408000. Its totient is φ = 84020334428160.

The previous prime is 205650697109723. The next prime is 205650697109731. The reversal of 205650697109728 is 827901796056502.

205650697109728 is digitally balanced in base 3, 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 (205650697109723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15417243283 + ... + 15417256621.

It is an arithmetic number, because the mean of its divisors is an integer number (1274686024500).

Almost surely, 2^{205650697109728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205650697109728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244739716704000).

205650697109728 is an abundant number, since it is smaller than the sum of its proper divisors (283828736298272).

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

205650697109728 is a wasteful number, since it uses less digits than its factorization.

205650697109728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14218 (or 14210 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 67.

The spelling of 205650697109728 in words is "two hundred five trillion, six hundred fifty billion, six hundred ninety-seven million, one hundred nine thousand, seven hundred twenty-eight".