206888522500 has 135 divisors (see below), whose sum is σ = 497894347027. Its totient is φ = 75141220000.

The previous prime is 206888522471. The next prime is 206888522501. The reversal of 206888522500 is 5225888602.

The square root of 206888522500 is 454850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 16220060164 + 190668462336 = 127358^2 + 436656^2 .

It is not an unprimeable number, because it can be changed into a prime (206888522501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 250167087 + ... + 250167913.

Almost surely, 2^206888522500 is an apocalyptic number.

206888522500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206888522500 is the 454850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206888522500

206888522500 is an abundant number, since it is smaller than the sum of its proper divisors (291005824527).

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

206888522500 is an frugal number, since it uses more digits than its factorization.

206888522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The spelling of 206888522500 in words is "two hundred six billion, eight hundred eighty-eight million, five hundred twenty-two thousand, five hundred".