2126286816768 has 600 divisors, whose sum is σ = 6909381880632. Its totient is φ = 648746827776.

The previous prime is 2126286816761. The next prime is 2126286816779. The reversal of 2126286816768 is 8676186826212.

2126286816768 is a `hidden beast` number, since 212 + 6 + 286 + 81 + 6 + 7 + 68 = 666.

It is a super-2 number, since 2×2126286816768² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126286816761) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 965176755 + ... + 965178957.

Almost surely, 2^{2126286816768} 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 2126286816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454690940316).

2126286816768 is an abundant number, since it is smaller than the sum of its proper divisors (4783095063864).

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

2126286816768 is an equidigital number, since it uses as much as digits as its factorization.

2126286816768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2262 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 2126286816768 in words is "two trillion, one hundred twenty-six billion, two hundred eighty-six million, eight hundred sixteen thousand, seven hundred sixty-eight".