266727830112 has 288 divisors, whose sum is σ = 844308541440. Its totient is φ = 79522560000.

The previous prime is 266727830111. The next prime is 266727830177. The reversal of 266727830112 is 211038727662.

266727830112 is a `hidden beast` number, since 2 + 6 + 67 + 278 + 301 + 12 = 666.

266727830112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×266727830112² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266727830111) 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 47 ways as a sum of consecutive naturals, for example, 6935737 + ... + 6974087.

It is an arithmetic number, because the mean of its divisors is an integer number (2931626880).

Almost surely, 2^266727830112 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 266727830112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422154270720).

266727830112 is an abundant number, since it is smaller than the sum of its proper divisors (577580711328).

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

266727830112 is a wasteful number, since it uses less digits than its factorization.

266727830112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38458 (or 38447 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 266727830112 in words is "two hundred sixty-six billion, seven hundred twenty-seven million, eight hundred thirty thousand, one hundred twelve".