206159072225920 has 512 divisors, whose sum is σ = 543905358796800. Its totient is φ = 74101857730560.

The previous prime is 206159072225891. The next prime is 206159072225971. The reversal of 206159072225920 is 29522270951602.

It is a super-2 number, since 2×206159072225920² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281253849874 + ... + 281253850606.

It is an arithmetic number, because the mean of its divisors is an integer number (1062315153900).

Almost surely, 2^{206159072225920} is an apocalyptic number.

206159072225920 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 206159072225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271952679398400).

206159072225920 is an abundant number, since it is smaller than the sum of its proper divisors (337746286570880).

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

206159072225920 is a wasteful number, since it uses less digits than its factorization.

206159072225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 206159072225920 in words is "two hundred six trillion, one hundred fifty-nine billion, seventy-two million, two hundred twenty-five thousand, nine hundred twenty".