266121121662 has 96 divisors (see below), whose sum is σ = 635553565920. Its totient is φ = 79806504960.

The previous prime is 266121121657. The next prime is 266121121711.

266121121662 is a `hidden beast` number, since 2 + 6 + 612 + 11 + 21 + 6 + 6 + 2 = 666.

266121121662 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15138414 + ... + 15155982.

It is an arithmetic number, because the mean of its divisors is an integer number (6620349645).

Almost surely, 2^266121121662 is an apocalyptic number.

266121121662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 266121121662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317776782960).

266121121662 is an abundant number, since it is smaller than the sum of its proper divisors (369432444258).

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

266121121662 is a wasteful number, since it uses less digits than its factorization.

266121121662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18378 (or 18375 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

It can be divided in two parts, 266121 and 121662, that added together give a palindrome (387783).

The spelling of 266121121662 in words is "two hundred sixty-six billion, one hundred twenty-one million, one hundred twenty-one thousand, six hundred sixty-two".