206153665056 has 168 divisors, whose sum is σ = 616227454080. Its totient is φ = 67847435136.

The previous prime is 206153665027. The next prime is 206153665061. The reversal of 206153665056 is 650566351602.

206153665056 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 536 + 65 + 0 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1786981 + ... + 1898843.

It is an arithmetic number, because the mean of its divisors is an integer number (3668020560).

Almost surely, 2^206153665056 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 206153665056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308113727040).

206153665056 is an abundant number, since it is smaller than the sum of its proper divisors (410073789024).

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

206153665056 is an equidigital number, since it uses as much as digits as its factorization.

206153665056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111970 (or 111947 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 206153665056 in words is "two hundred six billion, one hundred fifty-three million, six hundred sixty-five thousand, fifty-six".