266713641322800 has 360 divisors, whose sum is σ = 993954425965776. Its totient is φ = 60957455892480.

The previous prime is 266713641322789. The next prime is 266713641322801. The reversal of 266713641322800 is 8223146317662.

It is a super-2 number, since 2×266713641322800² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (266713641322801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 649946484 + ... + 650356716.

Almost surely, 2^{266713641322800} is an apocalyptic number.

266713641322800 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 266713641322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496977212982888).

266713641322800 is an abundant number, since it is smaller than the sum of its proper divisors (727240784642976).

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

266713641322800 is a wasteful number, since it uses less digits than its factorization.

266713641322800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421325 (or 421307 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 266713641322800 in words is "two hundred sixty-six trillion, seven hundred thirteen billion, six hundred forty-one million, three hundred twenty-two thousand, eight hundred".