205865038080 has 1080 divisors, whose sum is σ = 825547726080. Its totient is φ = 48910417920.

The previous prime is 205865038069. The next prime is 205865038129. The reversal of 205865038080 is 80830568502.

It is a happy number.

205865038080 is a `hidden beast` number, since 205 + 8 + 65 + 0 + 380 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 543179331 + ... + 543179709.

Almost surely, 2^205865038080 is an apocalyptic number.

205865038080 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 205865038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412773863040).

205865038080 is an abundant number, since it is smaller than the sum of its proper divisors (619682688000).

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

205865038080 is a wasteful number, since it uses less digits than its factorization.

205865038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 205865038080 in words is "two hundred five billion, eight hundred sixty-five million, thirty-eight thousand, eighty".