206107796160 has 448 divisors, whose sum is σ = 832030848000. Its totient is φ = 47050481664.

The previous prime is 206107796137. The next prime is 206107796171. The reversal of 206107796160 is 61697701602.

It is a happy number.

206107796160 is a `hidden beast` number, since 20 + 6 + 1 + 0 + 7 + 7 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×206107796160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62474191 + ... + 62477489.

Almost surely, 2^206107796160 is an apocalyptic number.

206107796160 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 206107796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416015424000).

206107796160 is an abundant number, since it is smaller than the sum of its proper divisors (625923051840).

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

206107796160 is a wasteful number, since it uses less digits than its factorization.

206107796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 206107796160 in words is "two hundred six billion, one hundred seven million, seven hundred ninety-six thousand, one hundred sixty".