206398352160 has 1728 divisors, whose sum is σ = 983727763200. Its totient is φ = 38054707200.

The previous prime is 206398352071. The next prime is 206398352161. The reversal of 206398352160 is 61253893602.

206398352160 is a `hidden beast` number, since 2 + 0 + 63 + 9 + 8 + 3 + 521 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (206398352161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1385223766 + ... + 1385223914.

It is an arithmetic number, because the mean of its divisors is an integer number (569286900).

Almost surely, 2^206398352160 is an apocalyptic number.

206398352160 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 206398352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491863881600).

206398352160 is an abundant number, since it is smaller than the sum of its proper divisors (777329411040).

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

206398352160 is a wasteful number, since it uses less digits than its factorization.

206398352160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 206398352160 in words is "two hundred six billion, three hundred ninety-eight million, three hundred fifty-two thousand, one hundred sixty".