205680384000 has 1920 divisors, whose sum is σ = 952301750400. Its totient is φ = 42998169600.

The previous prime is 205680383939. The next prime is 205680384071. The reversal of 205680384000 is 483086502.

205680384000 is a `hidden beast` number, since 20 + 568 + 0 + 38 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1886975946 + ... + 1886976054.

It is an arithmetic number, because the mean of its divisors is an integer number (495990495).

Almost surely, 2^205680384000 is an apocalyptic number.

205680384000 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 205680384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476150875200).

205680384000 is an abundant number, since it is smaller than the sum of its proper divisors (746621366400).

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

205680384000 is a wasteful number, since it uses less digits than its factorization.

205680384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 205680384000 in words is "two hundred five billion, six hundred eighty million, three hundred eighty-four thousand".