206530235346960 has 960 divisors, whose sum is σ = 801765729423360. Its totient is φ = 46669688524800.

The previous prime is 206530235346949. The next prime is 206530235346983. The reversal of 206530235346960 is 69643532035602.

206530235346960 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 3 + 0 + 235 + 346 + 9 + 60 = 666.

It is a super-2 number, since 2×206530235346960² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206530235346897 and 206530235346906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 218088949207 + ... + 218088950153.

It is an arithmetic number, because the mean of its divisors is an integer number (835172634816).

Almost surely, 2^{206530235346960} is an apocalyptic number.

206530235346960 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 206530235346960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400882864711680).

206530235346960 is an abundant number, since it is smaller than the sum of its proper divisors (595235494076400).

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

206530235346960 is a wasteful number, since it uses less digits than its factorization.

206530235346960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 206530235346960 in words is "two hundred six trillion, five hundred thirty billion, two hundred thirty-five million, three hundred forty-six thousand, nine hundred sixty".