205430906880 has 336 divisors, whose sum is σ = 743109288480. Its totient is φ = 52397604864.

The previous prime is 205430906839. The next prime is 205430906887. The reversal of 205430906880 is 88609034502.

205430906880 is a `hidden beast` number, since 20 + 543 + 0 + 9 + 0 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205430906887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8466606 + ... + 8490834.

Almost surely, 2^205430906880 is an apocalyptic number.

205430906880 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 205430906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371554644240).

205430906880 is an abundant number, since it is smaller than the sum of its proper divisors (537678381600).

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

205430906880 is a wasteful number, since it uses less digits than its factorization.

205430906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24289 (or 24262 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 205430906880 in words is "two hundred five billion, four hundred thirty million, nine hundred six thousand, eight hundred eighty".