206904242160 has 1600 divisors, whose sum is σ = 943739596800. Its totient is φ = 40758681600.

The previous prime is 206904242137. The next prime is 206904242161. The reversal of 206904242160 is 61242409602.

206904242160 is a `hidden beast` number, since 206 + 9 + 0 + 424 + 21 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206904242161) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1143117270 + ... + 1143117450.

It is an arithmetic number, because the mean of its divisors is an integer number (589837248).

Almost surely, 2^206904242160 is an apocalyptic number.

206904242160 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 206904242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471869798400).

206904242160 is an abundant number, since it is smaller than the sum of its proper divisors (736835354640).

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

206904242160 is a wasteful number, since it uses less digits than its factorization.

206904242160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 206904242160 in words is "two hundred six billion, nine hundred four million, two hundred forty-two thousand, one hundred sixty".