205441565220 has 144 divisors (see below), whose sum is σ = 648110299200. Its totient is φ = 54626990976.

The previous prime is 205441565207. The next prime is 205441565227. The reversal of 205441565220 is 22565144502.

205441565220 is a `hidden beast` number, since 2 + 0 + 54 + 41 + 565 + 2 + 2 + 0 = 666.

205441565220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (205441565227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1635579 + ... + 1756701.

Almost surely, 2^205441565220 is an apocalyptic number.

205441565220 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 205441565220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324055149600).

205441565220 is an abundant number, since it is smaller than the sum of its proper divisors (442668733980).

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

205441565220 is a wasteful number, since it uses less digits than its factorization.

205441565220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121496 (or 121482 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

It can be divided in two parts, 205441 and 565220, that added together give a triangular number (770661 = T₁₂₄₁).

The spelling of 205441565220 in words is "two hundred five billion, four hundred forty-one million, five hundred sixty-five thousand, two hundred twenty".