5289767708160 has 960 divisors, whose sum is σ = 19045894824000. Its totient is φ = 1250389131264.

The previous prime is 5289767708107. The next prime is 5289767708167. The reversal of 5289767708160 is 618077679825.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 5289767708091 and 5289767708100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5289767708167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11781219616 + ... + 11781220064.

It is an arithmetic number, because the mean of its divisors is an integer number (19839473775).

Almost surely, 2^{5289767708160} 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 5289767708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522947412000).

5289767708160 is an abundant number, since it is smaller than the sum of its proper divisors (13756127115840).

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

5289767708160 is a wasteful number, since it uses less digits than its factorization.

5289767708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 66.

The spelling of 5289767708160 in words is "five trillion, two hundred eighty-nine billion, seven hundred sixty-seven million, seven hundred eight thousand, one hundred sixty".