206166633120 has 144 divisors (see below), whose sum is σ = 804049908480. Its totient is φ = 47123799552.

The previous prime is 206166633103. The next prime is 206166633161. The reversal of 206166633120 is 21336661602.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×206166633120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10216440 + ... + 10236599.

It is an arithmetic number, because the mean of its divisors is an integer number (5583679920).

Almost surely, 2^206166633120 is an apocalyptic number.

206166633120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206166633120 is an abundant number, since it is smaller than the sum of its proper divisors (597883275360).

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

206166633120 is a wasteful number, since it uses less digits than its factorization.

206166633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20453067 (or 20453056 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 206166633120 in words is "two hundred six billion, one hundred sixty-six million, six hundred thirty-three thousand, one hundred twenty".