205285412879712 has 288 divisors, whose sum is σ = 679622756327424. Its totient is φ = 58087411200000.

The previous prime is 205285412879707. The next prime is 205285412879713. The reversal of 205285412879712 is 217978214582502.

It is a happy number.

205285412879712 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 8 + 541 + 2 + 8 + 79 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 205285412879712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205285412879713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8167164 + ... + 21846587.

It is an arithmetic number, because the mean of its divisors is an integer number (2359801237248).

Almost surely, 2^{205285412879712} is an apocalyptic number.

205285412879712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

205285412879712 is an abundant number, since it is smaller than the sum of its proper divisors (474337343447712).

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

205285412879712 is a wasteful number, since it uses less digits than its factorization.

205285412879712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30013922 (or 30013911 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 205285412879712 in words is "two hundred five trillion, two hundred eighty-five billion, four hundred twelve million, eight hundred seventy-nine thousand, seven hundred twelve".