206620107120 has 1200 divisors, whose sum is σ = 909791546400. Its totient is φ = 43162398720.

The previous prime is 206620107061. The next prime is 206620107121. The reversal of 206620107120 is 21701026602.

206620107120 is a `hidden beast` number, since 2 + 0 + 6 + 620 + 10 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206620107121) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 174952930 + ... + 174954110.

It is an arithmetic number, because the mean of its divisors is an integer number (758159622).

Almost surely, 2^206620107120 is an apocalyptic number.

206620107120 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 206620107120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454895773200).

206620107120 is an abundant number, since it is smaller than the sum of its proper divisors (703171439280).

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

206620107120 is a wasteful number, since it uses less digits than its factorization.

206620107120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 206620107120 in words is "two hundred six billion, six hundred twenty million, one hundred seven thousand, one hundred twenty".