205330136606166 has 256 divisors, whose sum is σ = 503020591202304. Its totient is φ = 55039564800000.

The previous prime is 205330136606131. The next prime is 205330136606171. The reversal of 205330136606166 is 661606631033502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 612244446 + ... + 612579726.

It is an arithmetic number, because the mean of its divisors is an integer number (1964924184384).

Almost surely, 2^{205330136606166} is an apocalyptic number.

205330136606166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205330136606166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251510295601152).

205330136606166 is an abundant number, since it is smaller than the sum of its proper divisors (297690454596138).

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

205330136606166 is a wasteful number, since it uses less digits than its factorization.

205330136606166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335639.

The product of its (nonzero) digits is 2099520, while the sum is 48.

Adding to 205330136606166 its reverse (661606631033502), we get a palindrome (866936767639668).

The spelling of 205330136606166 in words is "two hundred five trillion, three hundred thirty billion, one hundred thirty-six million, six hundred six thousand, one hundred sixty-six".