5005661335680 has 64 divisors (see below), whose sum is σ = 15955545513600. Its totient is φ = 1334843022336.

The previous prime is 5005661335669. The next prime is 5005661335681. The reversal of 5005661335680 is 865331665005.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5005661335681) 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 7 ways as a sum of consecutive naturals, for example, 1303555720 + ... + 1303559559.

It is an arithmetic number, because the mean of its divisors is an integer number (249305398650).

Almost surely, 2^{5005661335680} is an apocalyptic number.

It is an amenable number.

5005661335680 is an abundant number, since it is smaller than the sum of its proper divisors (10949884177920).

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

5005661335680 is a wasteful number, since it uses less digits than its factorization.

5005661335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607115301 (or 2607115289 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 5005661335680 in words is "five trillion, five billion, six hundred sixty-one million, three hundred thirty-five thousand, six hundred eighty".