2659663503168 has 896 divisors, whose sum is σ = 9248753664000. Its totient is φ = 656449339392.

The previous prime is 2659663503163. The next prime is 2659663503221. The reversal of 2659663503168 is 8613053669562.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2659663503163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3032683146 + ... + 3032684022.

Almost surely, 2^{2659663503168} is an apocalyptic number.

2659663503168 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 2659663503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624376832000).

2659663503168 is an abundant number, since it is smaller than the sum of its proper divisors (6589090160832).

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

2659663503168 is a wasteful number, since it uses less digits than its factorization.

2659663503168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 60.

The spelling of 2659663503168 in words is "two trillion, six hundred fifty-nine billion, six hundred sixty-three million, five hundred three thousand, one hundred sixty-eight".