206006216000 has 448 divisors, whose sum is σ = 581860371456. Its totient is φ = 71672832000.

The previous prime is 206006215981. The next prime is 206006216021. The reversal of 206006216000 is 612600602.

It is a super-2 number, since 2×206006216000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169831394 + ... + 169832606.

It is an arithmetic number, because the mean of its divisors is an integer number (1298795472).

Almost surely, 2^206006216000 is an apocalyptic number.

206006216000 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 206006216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290930185728).

206006216000 is an abundant number, since it is smaller than the sum of its proper divisors (375854155456).

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

206006216000 is a wasteful number, since it uses less digits than its factorization.

206006216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 206006216000 its reverse (612600602), we get a palindrome (206618816602).

The spelling of 206006216000 in words is "two hundred six billion, six million, two hundred sixteen thousand".