206880000000 has 384 divisors, whose sum is σ = 691029480960. Its totient is φ = 55040000000.

The previous prime is 206879999999. The next prime is 206880000001. The reversal of 206880000000 is 88602.

It is an interprime number because it is at equal distance from previous prime (206879999999) and next prime (206880000001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206880000001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479999785 + ... + 480000215.

It is an arithmetic number, because the mean of its divisors is an integer number (1799555940).

Almost surely, 2^206880000000 is an apocalyptic number.

206880000000 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 206880000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345514740480).

206880000000 is an abundant number, since it is smaller than the sum of its proper divisors (484149480960).

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

206880000000 is an frugal number, since it uses more digits than its factorization.

206880000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 206880000000 its reverse (88602), we get a palindrome (206880088602).

The spelling of 206880000000 in words is "two hundred six billion, eight hundred eighty million", and thus it is an aban number.