205730860608 has 1008 divisors, whose sum is σ = 807151974720. Its totient is φ = 51355938816.

The previous prime is 205730860549. The next prime is 205730860631. The reversal of 205730860608 is 806068037502.

205730860608 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 30 + 8 + 6 + 0 + 608 = 666.

205730860608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×205730860608² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 188225310 + ... + 188226402.

Almost surely, 2^205730860608 is an apocalyptic number.

205730860608 is a gapful number since it is divisible by the number (28) 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 205730860608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403575987360).

205730860608 is an abundant number, since it is smaller than the sum of its proper divisors (601421114112).

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

205730860608 is a wasteful number, since it uses less digits than its factorization.

205730860608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 205730860608 in words is "two hundred five billion, seven hundred thirty million, eight hundred sixty thousand, six hundred eight".