206008158720 has 640 divisors, whose sum is σ = 814222886400. Its totient is φ = 43269488640.

The previous prime is 206008158667. The next prime is 206008158739. The reversal of 206008158720 is 27851800602.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×206008158720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 196384756 + ... + 196385804.

It is an arithmetic number, because the mean of its divisors is an integer number (1272223260).

Almost surely, 2^206008158720 is an apocalyptic number.

206008158720 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 206008158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407111443200).

206008158720 is an abundant number, since it is smaller than the sum of its proper divisors (608214727680).

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

206008158720 is a wasteful number, since it uses less digits than its factorization.

206008158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 206008158720 in words is "two hundred six billion, eight million, one hundred fifty-eight thousand, seven hundred twenty".