205830264960 has 384 divisors, whose sum is σ = 752042491200. Its totient is φ = 51729850368.

The previous prime is 205830264907. The next prime is 205830264967. The reversal of 205830264960 is 69462038502.

205830264960 is a `hidden beast` number, since 2 + 0 + 583 + 0 + 2 + 6 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (205830264967) 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, 21554907 + ... + 21564453.

Almost surely, 2^205830264960 is an apocalyptic number.

205830264960 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 205830264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376021245600).

205830264960 is an abundant number, since it is smaller than the sum of its proper divisors (546212226240).

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

205830264960 is a wasteful number, since it uses less digits than its factorization.

205830264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 205830264960 in words is "two hundred five billion, eight hundred thirty million, two hundred sixty-four thousand, nine hundred sixty".