5285908316160 has 672 divisors, whose sum is σ = 19067632436160. Its totient is φ = 1406517903360.

The previous prime is 5285908316141. The next prime is 5285908316231. The reversal of 5285908316160 is 616138095825.

5285908316160 is a `hidden beast` number, since 5 + 2 + 8 + 590 + 8 + 31 + 6 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5285908316097 and 5285908316106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11466178330 + ... + 11466178790.

It is an arithmetic number, because the mean of its divisors is an integer number (28374453030).

Almost surely, 2^{5285908316160} 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 5285908316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533816218080).

5285908316160 is an abundant number, since it is smaller than the sum of its proper divisors (13781724120000).

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

5285908316160 is an frugal number, since it uses more digits than its factorization.

5285908316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 5285908316160 in words is "five trillion, two hundred eighty-five billion, nine hundred eight million, three hundred sixteen thousand, one hundred sixty".