206466165200 has 60 divisors (see below), whose sum is σ = 498553096140. Its totient is φ = 82167214080.

The previous prime is 206466165161. The next prime is 206466165221. The reversal of 206466165200 is 2561664602.

It can be written as a sum of positive squares in 6 ways, for example, as 1054171024 + 205411994176 = 32468^2 + 453224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1231265 + ... + 1388864.

It is an arithmetic number, because the mean of its divisors is an integer number (8309218269).

Almost surely, 2^206466165200 is an apocalyptic number.

206466165200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206466165200 is an abundant number, since it is smaller than the sum of its proper divisors (292086930940).

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

206466165200 is a wasteful number, since it uses less digits than its factorization.

206466165200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620344 (or 2620333 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 206466165200 in words is "two hundred six billion, four hundred sixty-six million, one hundred sixty-five thousand, two hundred".