206166240000 has 1080 divisors, whose sum is σ = 861155367072. Its totient is φ = 46448640000.

The previous prime is 206166239987. The next prime is 206166240019. The reversal of 206166240000 is 42661602.

It is a happy number.

206166240000 is a `hidden beast` number, since 2 + 0 + 616 + 6 + 2 + 40 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1139039910 + ... + 1139040090.

Almost surely, 2^206166240000 is an apocalyptic number.

206166240000 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 206166240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430577683536).

206166240000 is an abundant number, since it is smaller than the sum of its proper divisors (654989127072).

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

206166240000 is a wasteful number, since it uses less digits than its factorization.

206166240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 206166240000 in words is "two hundred six billion, one hundred sixty-six million, two hundred forty thousand".