205601536560 has 160 divisors (see below), whose sum is σ = 732886663680. Its totient is φ = 46706264064.

The previous prime is 205601536537. The next prime is 205601536571. The reversal of 205601536560 is 65635106502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101565 + ... + 649244.

It is an arithmetic number, because the mean of its divisors is an integer number (4580541648).

Almost surely, 2^205601536560 is an apocalyptic number.

205601536560 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 205601536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366443331840).

205601536560 is an abundant number, since it is smaller than the sum of its proper divisors (527285127120).

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

205601536560 is a wasteful number, since it uses less digits than its factorization.

205601536560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750995 (or 750989 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 205601536560 in words is "two hundred five billion, six hundred one million, five hundred thirty-six thousand, five hundred sixty".