205580770560 has 864 divisors, whose sum is σ = 815475548160. Its totient is φ = 47359180800.

The previous prime is 205580770559. The next prime is 205580770573. The reversal of 205580770560 is 65077085502.

205580770560 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 80 + 7 + 7 + 0 + 560 = 666.

205580770560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231770437 + ... + 231771323.

It is an arithmetic number, because the mean of its divisors is an integer number (943837440).

Almost surely, 2^205580770560 is an apocalyptic number.

205580770560 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 205580770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407737774080).

205580770560 is an abundant number, since it is smaller than the sum of its proper divisors (609894777600).

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

205580770560 is a wasteful number, since it uses less digits than its factorization.

205580770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 205580770560 in words is "two hundred five billion, five hundred eighty million, seven hundred seventy thousand, five hundred sixty".