16268118608560 has 320 divisors, whose sum is σ = 48645486489600. Its totient is φ = 4917678796800.

The previous prime is 16268118608557. The next prime is 16268118608593. The reversal of 16268118608560 is 6580681186261.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 16268118608495 and 16268118608504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117306141 + ... + 117444739.

It is an arithmetic number, because the mean of its divisors is an integer number (152017145280).

Almost surely, 2^{16268118608560} is an apocalyptic number.

16268118608560 is a gapful number since it is divisible by the number (10) 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 16268118608560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24322743244800).

16268118608560 is an abundant number, since it is smaller than the sum of its proper divisors (32377367881040).

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

16268118608560 is a wasteful number, since it uses less digits than its factorization.

16268118608560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139356 (or 139350 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 58.

The spelling of 16268118608560 in words is "sixteen trillion, two hundred sixty-eight billion, one hundred eighteen million, six hundred eight thousand, five hundred sixty".