206173997120 has 168 divisors, whose sum is σ = 607569568704. Its totient is φ = 65250551808.

The previous prime is 206173997033. The next prime is 206173997123. The reversal of 206173997120 is 21799371602.

It is not an unprimeable number, because it can be changed into a prime (206173997123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106247 + ... + 650873.

It is an arithmetic number, because the mean of its divisors is an integer number (3616485528).

Almost surely, 2^206173997120 is an apocalyptic number.

206173997120 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 206173997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303784784352).

206173997120 is an abundant number, since it is smaller than the sum of its proper divisors (401395571584).

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

206173997120 is a wasteful number, since it uses less digits than its factorization.

206173997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544677 (or 544654 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 47.

The spelling of 206173997120 in words is "two hundred six billion, one hundred seventy-three million, nine hundred ninety-seven thousand, one hundred twenty".