206375975009568 has 864 divisors, whose sum is σ = 772890374745216. Its totient is φ = 53683134124032.

The previous prime is 206375975009537. The next prime is 206375975009591. The reversal of 206375975009568 is 865900579573602.

206375975009568 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 7 + 5 + 9 + 7 + 50 + 0 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×206375975009568² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 206375975009496 and 206375975009505.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 361306405 + ... + 361877147.

It is an arithmetic number, because the mean of its divisors is an integer number (894549044844).

Almost surely, 2^{206375975009568} is an apocalyptic number.

206375975009568 is a gapful number since it is divisible by the number (28) 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 206375975009568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386445187372608).

206375975009568 is an abundant number, since it is smaller than the sum of its proper divisors (566514399735648).

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

206375975009568 is a wasteful number, since it uses less digits than its factorization.

206375975009568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570868 (or 570841 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 72.

The spelling of 206375975009568 in words is "two hundred six trillion, three hundred seventy-five billion, nine hundred seventy-five million, nine thousand, five hundred sixty-eight".