205261035660 has 144 divisors (see below), whose sum is σ = 647232768000. Its totient is φ = 54605098944.

The previous prime is 205261035659. The next prime is 205261035677. The reversal of 205261035660 is 66530162502.

It is a happy number.

205261035660 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 610 + 35 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1985941 + ... + 2086739.

It is an arithmetic number, because the mean of its divisors is an integer number (4494672000).

Almost surely, 2^205261035660 is an apocalyptic number.

205261035660 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 205261035660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323616384000).

205261035660 is an abundant number, since it is smaller than the sum of its proper divisors (441971732340).

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

205261035660 is a wasteful number, since it uses less digits than its factorization.

205261035660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101242 (or 101228 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 205261035660 in words is "two hundred five billion, two hundred sixty-one million, thirty-five thousand, six hundred sixty".