206672116400 has 30 divisors (see below), whose sum is σ = 496529760612. Its totient is φ = 82668846400.

The previous prime is 206672116331. The next prime is 206672116411. The reversal of 206672116400 is 4611276602.

206672116400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 258339746 + ... + 258340545.

Almost surely, 2^206672116400 is an apocalyptic number.

206672116400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206672116400 is an abundant number, since it is smaller than the sum of its proper divisors (289857644212).

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

206672116400 is a wasteful number, since it uses less digits than its factorization.

206672116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516680309 (or 516680298 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 206672116400 in words is "two hundred six billion, six hundred seventy-two million, one hundred sixteen thousand, four hundred".