5305456668800 has 96 divisors (see below), whose sum is σ = 13877085241620. Its totient is φ = 1997348372480.

The previous prime is 5305456668781. The next prime is 5305456668947. The reversal of 5305456668800 is 88666545035.

It can be written as a sum of positive squares in 6 ways, for example, as 3869466673216 + 1435989995584 = 1967096^2 + 1198328^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48708989 + ... + 48817788.

Almost surely, 2^{5305456668800} is an apocalyptic number.

5305456668800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5305456668800 is an abundant number, since it is smaller than the sum of its proper divisors (8571628572820).

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

5305456668800 is a wasteful number, since it uses less digits than its factorization.

5305456668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97526818 (or 97526801 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 56.

The spelling of 5305456668800 in words is "five trillion, three hundred five billion, four hundred fifty-six million, six hundred sixty-eight thousand, eight hundred".