266501088672 has 960 divisors, whose sum is σ = 961313955840. Its totient is φ = 64012032000.

The previous prime is 266501088671. The next prime is 266501088713. The reversal of 266501088672 is 276880105662.

It is a happy number.

266501088672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×266501088672² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (266501088671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1764907797 + ... + 1764907947.

It is an arithmetic number, because the mean of its divisors is an integer number (1001368704).

Almost surely, 2^266501088672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266501088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480656977920).

266501088672 is an abundant number, since it is smaller than the sum of its proper divisors (694812867168).

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

266501088672 is a wasteful number, since it uses less digits than its factorization.

266501088672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 266501088672 in words is "two hundred sixty-six billion, five hundred one million, eighty-eight thousand, six hundred seventy-two".