205327906560 has 1728 divisors, whose sum is σ = 908482780800. Its totient is φ = 43698880512.

The previous prime is 205327906559. The next prime is 205327906591. The reversal of 205327906560 is 65609723502.

205327906560 is a `hidden beast` number, since 20 + 532 + 7 + 90 + 6 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1817061064 + ... + 1817061176.

It is an arithmetic number, because the mean of its divisors is an integer number (525742350).

Almost surely, 2^205327906560 is an apocalyptic number.

205327906560 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 205327906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454241390400).

205327906560 is an abundant number, since it is smaller than the sum of its proper divisors (703154874240).

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

205327906560 is a wasteful number, since it uses less digits than its factorization.

205327906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 205327906560 in words is "two hundred five billion, three hundred twenty-seven million, nine hundred six thousand, five hundred sixty".