266400193600 has 84 divisors (see below), whose sum is σ = 655981758900. Its totient is φ = 106483548160.

The previous prime is 266400193597. The next prime is 266400193601. The reversal of 266400193600 is 6391004662.

It is a happy number.

266400193600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 43744559104 + 222655634496 = 209152^2 + 471864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 266400193600.

It is not an unprimeable number, because it can be changed into a prime (266400193601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2195316 + ... + 2313484.

Almost surely, 2^266400193600 is an apocalyptic number.

266400193600 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 266400193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327990879450).

266400193600 is an abundant number, since it is smaller than the sum of its proper divisors (389581565300).

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

266400193600 is a wasteful number, since it uses less digits than its factorization.

266400193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119600 (or 119585 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 266400193600 in words is "two hundred sixty-six billion, four hundred million, one hundred ninety-three thousand, six hundred".