206133552000 has 512 divisors, whose sum is σ = 761866560000. Its totient is φ = 54780364800.

The previous prime is 206133551999. The next prime is 206133552017. The reversal of 206133552000 is 255331602.

206133552000 is a `hidden beast` number, since 2 + 0 + 6 + 133 + 5 + 520 + 0 + 0 = 666.

206133552000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163727371 + ... + 163728629.

It is an arithmetic number, because the mean of its divisors is an integer number (1488020625).

Almost surely, 2^206133552000 is an apocalyptic number.

206133552000 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 206133552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380933280000).

206133552000 is an abundant number, since it is smaller than the sum of its proper divisors (555733008000).

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

206133552000 is a wasteful number, since it uses less digits than its factorization.

206133552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 206133552000 its reverse (255331602), we get a palindrome (206388883602).

The spelling of 206133552000 in words is "two hundred six billion, one hundred thirty-three million, five hundred fifty-two thousand".