266382245376000 has 4368 divisors, whose sum is σ = 1116388632445632. Its totient is φ = 63350636544000.

The previous prime is 266382245375927. The next prime is 266382245376007. The reversal of 266382245376000 is 673542283662.

266382245376000 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 8 + 2 + 24 + 5 + 3 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266382245376007) 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 335 ways as a sum of consecutive naturals, for example, 2586235391949 + ... + 2586235392051.

It is an arithmetic number, because the mean of its divisors is an integer number (255583478124).

Almost surely, 2^{266382245376000} is an apocalyptic number.

266382245376000 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 266382245376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558194316222816).

266382245376000 is an abundant number, since it is smaller than the sum of its proper divisors (850006387069632).

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

266382245376000 is an equidigital number, since it uses as much as digits as its factorization.

266382245376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 266382245376000 in words is "two hundred sixty-six trillion, three hundred eighty-two billion, two hundred forty-five million, three hundred seventy-six thousand".