266063114400 has 288 divisors, whose sum is σ = 881618447808. Its totient is φ = 69677260800.

The previous prime is 266063114393. The next prime is 266063114407. The reversal of 266063114400 is 4411360662.

266063114400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (266063114393) and next prime (266063114407).

It is not an unprimeable number, because it can be changed into a prime (266063114407) 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, 139518247 + ... + 139520153.

It is an arithmetic number, because the mean of its divisors is an integer number (3061175166).

Almost surely, 2^266063114400 is an apocalyptic number.

266063114400 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 266063114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440809223904).

266063114400 is an abundant number, since it is smaller than the sum of its proper divisors (615555333408).

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

266063114400 is a wasteful number, since it uses less digits than its factorization.

266063114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 266063114400 in words is "two hundred sixty-six billion, sixty-three million, one hundred fourteen thousand, four hundred".