266164512768 has 864 divisors, whose sum is σ = 991591735680. Its totient is φ = 68000808960.

The previous prime is 266164512751. The next prime is 266164512787. The reversal of 266164512768 is 867215461662.

266164512768 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 64 + 512 + 7 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 725243721 + ... + 725244087.

It is an arithmetic number, because the mean of its divisors is an integer number (1147675620).

Almost surely, 2^266164512768 is an apocalyptic number.

266164512768 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 266164512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495795867840).

266164512768 is an abundant number, since it is smaller than the sum of its proper divisors (725427222912).

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

266164512768 is a wasteful number, since it uses less digits than its factorization.

266164512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 463 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 266164512768 in words is "two hundred sixty-six billion, one hundred sixty-four million, five hundred twelve thousand, seven hundred sixty-eight".