266688294912 has 624 divisors, whose sum is σ = 901770124800. Its totient is φ = 77635584000.

The previous prime is 266688294889. The next prime is 266688294959. The reversal of 266688294912 is 219492886662.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×266688294912² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 266688294912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355110537 + ... + 355111287.

Almost surely, 2^266688294912 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 266688294912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450885062400).

266688294912 is an abundant number, since it is smaller than the sum of its proper divisors (635081829888).

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

266688294912 is a wasteful number, since it uses less digits than its factorization.

266688294912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 788 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 266688294912 in words is "two hundred sixty-six billion, six hundred eighty-eight million, two hundred ninety-four thousand, nine hundred twelve".