5002608679680 has 288 divisors, whose sum is σ = 16116238172160. Its totient is φ = 1322458562560.

The previous prime is 5002608679657. The next prime is 5002608679703. The reversal of 5002608679680 is 869768062005.

It is an interprime number because it is at equal distance from previous prime (5002608679657) and next prime (5002608679703).

It is a self number, because there is not a number n which added to its sum of digits gives 5002608679680.

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 31 ways as a sum of consecutive naturals, for example, 214886281 + ... + 214909559.

It is an arithmetic number, because the mean of its divisors is an integer number (55959160320).

Almost surely, 2^{5002608679680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5002608679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058119086080).

5002608679680 is an abundant number, since it is smaller than the sum of its proper divisors (11113629492480).

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

5002608679680 is a wasteful number, since it uses less digits than its factorization.

5002608679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23787 (or 23773 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 5002608679680 in words is "five trillion, two billion, six hundred eight million, six hundred seventy-nine thousand, six hundred eighty".