206058492192 has 384 divisors, whose sum is σ = 679089277440. Its totient is φ = 53343682560.

The previous prime is 206058492137. The next prime is 206058492193. The reversal of 206058492192 is 291294850602.

206058492192 is digitally balanced in base 3, 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 (48).

It is not an unprimeable number, because it can be changed into a prime (206058492193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151401592 + ... + 151402952.

It is an arithmetic number, because the mean of its divisors is an integer number (1768461660).

Almost surely, 2^206058492192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206058492192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339544638720).

206058492192 is an abundant number, since it is smaller than the sum of its proper divisors (473030785248).

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

206058492192 is a wasteful number, since it uses less digits than its factorization.

206058492192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 206058492192 in words is "two hundred six billion, fifty-eight million, four hundred ninety-two thousand, one hundred ninety-two".