205740483554430 has 288 divisors, whose sum is σ = 613625549479488. Its totient is φ = 47701274987520.

The previous prime is 205740483554399. The next prime is 205740483554597. The reversal of 205740483554430 is 34455384047502.

205740483554430 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 4 + 0 + 4 + 83 + 554 + 4 + 3 + 0 = 666.

205740483554430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1921802784 + ... + 1921909836.

It is an arithmetic number, because the mean of its divisors is an integer number (2130644269026).

Almost surely, 2^{205740483554430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205740483554430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306812774739744).

205740483554430 is an abundant number, since it is smaller than the sum of its proper divisors (407885065925058).

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

205740483554430 is a wasteful number, since it uses less digits than its factorization.

205740483554430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114784 (or 114770 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 54.

The spelling of 205740483554430 in words is "two hundred five trillion, seven hundred forty billion, four hundred eighty-three million, five hundred fifty-four thousand, four hundred thirty".