205170270560 has 96 divisors (see below), whose sum is σ = 487442025504. Its totient is φ = 81607680000.

The previous prime is 205170270553. The next prime is 205170270577. The reversal of 205170270560 is 65072071502.

It is a happy number.

205170270560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205170270560.

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, 21232130 + ... + 21241790.

It is an arithmetic number, because the mean of its divisors is an integer number (5077521099).

Almost surely, 2^205170270560 is an apocalyptic number.

205170270560 is a gapful number since it is divisible by the number (20) 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 205170270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243721012752).

205170270560 is an abundant number, since it is smaller than the sum of its proper divisors (282271754944).

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

205170270560 is a wasteful number, since it uses less digits than its factorization.

205170270560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10408 (or 10400 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 205170270560 in words is "two hundred five billion, one hundred seventy million, two hundred seventy thousand, five hundred sixty".