205170661206 has 240 divisors, whose sum is σ = 552280861440. Its totient is φ = 55750226400.

The previous prime is 205170661193. The next prime is 205170661217. The reversal of 205170661206 is 602166071502.

It is a happy number.

205170661206 is a `hidden beast` number, since 20 + 5 + 17 + 0 + 6 + 612 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64295071 + ... + 64298261.

It is an arithmetic number, because the mean of its divisors is an integer number (2301170256).

Almost surely, 2^205170661206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205170661206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276140430720).

205170661206 is an abundant number, since it is smaller than the sum of its proper divisors (347110200234).

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

205170661206 is a wasteful number, since it uses less digits than its factorization.

205170661206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 205170661206 in words is "two hundred five billion, one hundred seventy million, six hundred sixty-one thousand, two hundred six".