5305456668801 has 24 divisors (see below), whose sum is σ = 7229728208160. Its totient is φ = 3460722947392.

The previous prime is 5305456668781. The next prime is 5305456668947. The reversal of 5305456668801 is 1088666545035.

It is a de Polignac number, because none of the positive numbers 2^k-5305456668801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5305456668301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23339845 + ... + 23566061.

It is an arithmetic number, because the mean of its divisors is an integer number (301238675340).

Almost surely, 2^{5305456668801} is an apocalyptic number.

It is an amenable number.

5305456668801 is a deficient number, since it is larger than the sum of its proper divisors (1924271539359).

5305456668801 is a wasteful number, since it uses less digits than its factorization.

5305456668801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229853 (or 229806 counting only the distinct ones).

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

The spelling of 5305456668801 in words is "five trillion, three hundred five billion, four hundred fifty-six million, six hundred sixty-eight thousand, eight hundred one".