206928720000 has 960 divisors, whose sum is σ = 784740802560. Its totient is φ = 52254720000.

The previous prime is 206928719989. The next prime is 206928720013. The reversal of 206928720000 is 27829602.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1629359937 + ... + 1629360063.

It is an arithmetic number, because the mean of its divisors is an integer number (817438336).

Almost surely, 2^206928720000 is an apocalyptic number.

206928720000 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 206928720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392370401280).

206928720000 is an abundant number, since it is smaller than the sum of its proper divisors (577812082560).

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

206928720000 is a wasteful number, since it uses less digits than its factorization.

206928720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 206928720000 in words is "two hundred six billion, nine hundred twenty-eight million, seven hundred twenty thousand".