206151744000 has 320 divisors, whose sum is σ = 687454035840. Its totient is φ = 54809395200.

The previous prime is 206151743999. The next prime is 206151744049. The reversal of 206151744000 is 447151602.

206151744000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72766584 + ... + 72769416.

It is an arithmetic number, because the mean of its divisors is an integer number (2148293862).

Almost surely, 2^206151744000 is an apocalyptic number.

206151744000 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 206151744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343727017920).

206151744000 is an abundant number, since it is smaller than the sum of its proper divisors (481302291840).

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

206151744000 is an equidigital number, since it uses as much as digits as its factorization.

206151744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 206151744000 its reverse (447151602), we get a palindrome (206598895602).

The spelling of 206151744000 in words is "two hundred six billion, one hundred fifty-one million, seven hundred forty-four thousand".