206868961628160 has 832 divisors, whose sum is σ = 717275631905280. Its totient is φ = 50603879301120.

The previous prime is 206868961628141. The next prime is 206868961628227. The reversal of 206868961628160 is 61826169868602.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×206868961628160² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188576992732 + ... + 188576993828.

Almost surely, 2^{206868961628160} is an apocalyptic number.

206868961628160 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 206868961628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358637815952640).

206868961628160 is an abundant number, since it is smaller than the sum of its proper divisors (510406670277120).

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

206868961628160 is a wasteful number, since it uses less digits than its factorization.

206868961628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 69.

The spelling of 206868961628160 in words is "two hundred six trillion, eight hundred sixty-eight billion, nine hundred sixty-one million, six hundred twenty-eight thousand, one hundred sixty".