206921518272 has 672 divisors, whose sum is σ = 775244779200. Its totient is φ = 53713207296.

The previous prime is 206921518249. The next prime is 206921518283. The reversal of 206921518272 is 272815129602.

206921518272 is a `hidden beast` number, since 2 + 0 + 69 + 2 + 1 + 518 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41740818 + ... + 41745774.

Almost surely, 2^206921518272 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 206921518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387622389600).

206921518272 is an abundant number, since it is smaller than the sum of its proper divisors (568323260928).

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

206921518272 is a wasteful number, since it uses less digits than its factorization.

206921518272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 206921518272 in words is "two hundred six billion, nine hundred twenty-one million, five hundred eighteen thousand, two hundred seventy-two".