206434831200 has 576 divisors, whose sum is σ = 738588352320. Its totient is φ = 49775247360.

The previous prime is 206434831199. The next prime is 206434831237. The reversal of 206434831200 is 2138434602.

It is a Cunningham number, because it is equal to 454351²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 530680606 + ... + 530680994.

It is an arithmetic number, because the mean of its divisors is an integer number (1282271445).

Almost surely, 2^206434831200 is an apocalyptic number.

206434831200 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 206434831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369294176160).

206434831200 is an abundant number, since it is smaller than the sum of its proper divisors (532153521120).

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

206434831200 is a wasteful number, since it uses less digits than its factorization.

206434831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 206434831200 in words is "two hundred six billion, four hundred thirty-four million, eight hundred thirty-one thousand, two hundred".