205340188572 has 36 divisors (see below), whose sum is σ = 526364996976. Its totient is φ = 67482690240.

The previous prime is 205340188483. The next prime is 205340188577. The reversal of 205340188572 is 275881043502.

205340188572 is a `hidden beast` number, since 20 + 5 + 3 + 40 + 18 + 8 + 572 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205340188577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40165713 + ... + 40170824.

It is an arithmetic number, because the mean of its divisors is an integer number (14621249916).

Almost surely, 2^205340188572 is an apocalyptic number.

It is an amenable number.

205340188572 is an abundant number, since it is smaller than the sum of its proper divisors (321024808404).

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

205340188572 is a wasteful number, since it uses less digits than its factorization.

205340188572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80336618 (or 80336613 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 205340188572 in words is "two hundred five billion, three hundred forty million, one hundred eighty-eight thousand, five hundred seventy-two".