206260116300 has 216 divisors, whose sum is σ = 739596329472. Its totient is φ = 47098800000.

The previous prime is 206260116281. The next prime is 206260116301. The reversal of 206260116300 is 3611062602.

206260116300 is a `hidden beast` number, since 2 + 0 + 6 + 26 + 0 + 1 + 1 + 630 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (206260116301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6605725 + ... + 6636875.

Almost surely, 2^206260116300 is an apocalyptic number.

206260116300 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 206260116300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369798164736).

206260116300 is an abundant number, since it is smaller than the sum of its proper divisors (533336213172).

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

206260116300 is a wasteful number, since it uses less digits than its factorization.

206260116300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32229 (or 32219 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 206260116300 its reverse (3611062602), we get a palindrome (209871178902).

The spelling of 206260116300 in words is "two hundred six billion, two hundred sixty million, one hundred sixteen thousand, three hundred".