205424909568 has 144 divisors (see below), whose sum is σ = 622294982400. Its totient is φ = 66804756480.

The previous prime is 205424909563. The next prime is 205424909639. The reversal of 205424909568 is 865909424502.

205424909568 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 2 + 490 + 95 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205424909563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79048 + ... + 645831.

Almost surely, 2^205424909568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205424909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311147491200).

205424909568 is an abundant number, since it is smaller than the sum of its proper divisors (416870072832).

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

205424909568 is an equidigital number, since it uses as much as digits as its factorization.

205424909568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724945 (or 724925 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 205424909568 in words is "two hundred five billion, four hundred twenty-four million, nine hundred nine thousand, five hundred sixty-eight".