5208973516560 has 320 divisors, whose sum is σ = 18188611854336. Its totient is φ = 1221740236800.

The previous prime is 5208973516547. The next prime is 5208973516597. The reversal of 5208973516560 is 656153798025.

It is a self number, because there is not a number n which added to its sum of digits gives 5208973516560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 651687924 + ... + 651695916.

Almost surely, 2^{5208973516560} 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 5208973516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094305927168).

5208973516560 is an abundant number, since it is smaller than the sum of its proper divisors (12979638337776).

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

5208973516560 is a wasteful number, since it uses less digits than its factorization.

5208973516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16014 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 5208973516560 in words is "five trillion, two hundred eight billion, nine hundred seventy-three million, five hundred sixteen thousand, five hundred sixty".