266083789245696 has 432 divisors, whose sum is σ = 854972745891264. Its totient is φ = 82231315955712.

The previous prime is 266083789245683. The next prime is 266083789245697. The reversal of 266083789245696 is 696542987380662.

266083789245696 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 8 + 3 + 78 + 9 + 2 + 456 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266083789245697) 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, 68977246 + ... + 72732578.

It is an arithmetic number, because the mean of its divisors is an integer number (1979103578452).

Almost surely, 2^{266083789245696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266083789245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427486372945632).

266083789245696 is an abundant number, since it is smaller than the sum of its proper divisors (588888956645568).

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

266083789245696 is an equidigital number, since it uses as much as digits as its factorization.

266083789245696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755448 (or 3755422 counting only the distinct ones).

The product of its (nonzero) digits is 11287019520, while the sum is 81.

The spelling of 266083789245696 in words is "two hundred sixty-six trillion, eighty-three billion, seven hundred eighty-nine million, two hundred forty-five thousand, six hundred ninety-six".