266269416168 has 128 divisors (see below), whose sum is σ = 773967052800. Its totient is φ = 74758262016.

The previous prime is 266269416163. The next prime is 266269416173. The reversal of 266269416168 is 861614962662.

It is a Cunningham number, because it is equal to 516013²-1.

It is an interprime number because it is at equal distance from previous prime (266269416163) and next prime (266269416173).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (266269416163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43342105 + ... + 43348247.

It is an arithmetic number, because the mean of its divisors is an integer number (6046617600).

Almost surely, 2^266269416168 is an apocalyptic number.

266269416168 is a gapful number since it is divisible by the number (28) 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 266269416168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386983526400).

266269416168 is an abundant number, since it is smaller than the sum of its proper divisors (507697636632).

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

266269416168 is a wasteful number, since it uses less digits than its factorization.

266269416168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591 (or 10587 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 266269416168 in words is "two hundred sixty-six billion, two hundred sixty-nine million, four hundred sixteen thousand, one hundred sixty-eight".