206906112000 has 576 divisors, whose sum is σ = 852390302400. Its totient is φ = 47289139200.

The previous prime is 206906111981. The next prime is 206906112001. The reversal of 206906112000 is 211609602.

206906112000 is a `hidden beast` number, since 20 + 6 + 9 + 0 + 611 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206906112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16121586 + ... + 16134414.

It is an arithmetic number, because the mean of its divisors is an integer number (1479844275).

Almost surely, 2^206906112000 is an apocalyptic number.

206906112000 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 206906112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426195151200).

206906112000 is an abundant number, since it is smaller than the sum of its proper divisors (645484190400).

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

206906112000 is a wasteful number, since it uses less digits than its factorization.

206906112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12879 (or 12846 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 206906112000 in words is "two hundred six billion, nine hundred six million, one hundred twelve thousand".