205561216352 has 96 divisors (see below), whose sum is σ = 435307727232. Its totient is φ = 95201593344.

The previous prime is 205561216297. The next prime is 205561216373. The reversal of 205561216352 is 253612165502.

It is a super-2 number, since 2×205561216352² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54050483 + ... + 54054285.

It is an arithmetic number, because the mean of its divisors is an integer number (4534455492).

Almost surely, 2^205561216352 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 205561216352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217653863616).

205561216352 is an abundant number, since it is smaller than the sum of its proper divisors (229746510880).

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

205561216352 is a wasteful number, since it uses less digits than its factorization.

205561216352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 205561216352 in words is "two hundred five billion, five hundred sixty-one million, two hundred sixteen thousand, three hundred fifty-two".