1305668485056 has 168 divisors, whose sum is σ = 3752973041664. Its totient is φ = 400432481280.

The previous prime is 1305668485007. The next prime is 1305668485091. The reversal of 1305668485056 is 6505848665031.

It is a junction number, because it is equal to n+sod(n) for n = 1305668484987 and 1305668485005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9896001 + ... + 10027071.

It is an arithmetic number, because the mean of its divisors is an integer number (22339125248).

Almost surely, 2^{1305668485056} is an apocalyptic number.

1305668485056 is a gapful number since it is divisible by the number (16) 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 1305668485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876486520832).

1305668485056 is an abundant number, since it is smaller than the sum of its proper divisors (2447304556608).

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

1305668485056 is a wasteful number, since it uses less digits than its factorization.

1305668485056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131419 (or 131396 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 1305668485056 in words is "one trillion, three hundred five billion, six hundred sixty-eight million, four hundred eighty-five thousand, fifty-six".