205536573216 has 144 divisors (see below), whose sum is σ = 638851397184. Its totient is φ = 62298035712.

The previous prime is 205536573157. The next prime is 205536573257. The reversal of 205536573216 is 612375635502.

205536573216 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 365 + 73 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×205536573216² (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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158836 + ... + 660531.

It is an arithmetic number, because the mean of its divisors is an integer number (4436468036).

Almost surely, 2^205536573216 is an apocalyptic number.

205536573216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

205536573216 is an abundant number, since it is smaller than the sum of its proper divisors (433314823968).

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

205536573216 is a wasteful number, since it uses less digits than its factorization.

205536573216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819463 (or 819452 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 205536573216 in words is "two hundred five billion, five hundred thirty-six million, five hundred seventy-three thousand, two hundred sixteen".