205897703467104 has 1152 divisors, whose sum is σ = 718784139161088. Its totient is φ = 57278326210560.

The previous prime is 205897703467067. The next prime is 205897703467117. The reversal of 205897703467104 is 401764307798502.

205897703467104 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 97 + 70 + 3 + 467 + 10 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 13332745207 + ... + 13332760649.

It is an arithmetic number, because the mean of its divisors is an integer number (623944565244).

It is a 2-persistent number, because it is pandigital, and so is 2⋅205897703467104 = 411795406934208, but 3⋅205897703467104 = 617693110401312 is not.

Almost surely, 2^{205897703467104} is an apocalyptic number.

205897703467104 is a gapful number since it is divisible by the number (24) 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 205897703467104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359392069580544).

205897703467104 is an abundant number, since it is smaller than the sum of its proper divisors (512886435693984).

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

205897703467104 is a wasteful number, since it uses less digits than its factorization.

205897703467104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722 (or 15702 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 205897703467104 in words is "two hundred five trillion, eight hundred ninety-seven billion, seven hundred three million, four hundred sixty-seven thousand, one hundred four".