266442005600 has 288 divisors, whose sum is σ = 671379528960. Its totient is φ = 103225098240.

The previous prime is 266442005549. The next prime is 266442005603. The reversal of 266442005600 is 6500244662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266442005603) by changing a digit.

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, 1194807089 + ... + 1194807311.

It is an arithmetic number, because the mean of its divisors is an integer number (2331178920).

Almost surely, 2^266442005600 is an apocalyptic number.

266442005600 is a gapful number since it is divisible by the number (20) 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 266442005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335689764480).

266442005600 is an abundant number, since it is smaller than the sum of its proper divisors (404937523360).

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

266442005600 is a wasteful number, since it uses less digits than its factorization.

266442005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 266442005600 in words is "two hundred sixty-six billion, four hundred forty-two million, five thousand, six hundred".