5760169282560 has 2816 divisors, whose sum is σ = 25291377377280. Its totient is φ = 1083766210560.

The previous prime is 5760169282499. The next prime is 5760169282579. The reversal of 5760169282560 is 652829610675.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a self number, because there is not a number n which added to its sum of digits gives 5760169282560.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 59383188432 + ... + 59383188528.

Almost surely, 2^{5760169282560} 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 5760169282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645688688640).

5760169282560 is an abundant number, since it is smaller than the sum of its proper divisors (19531208094720).

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

5760169282560 is a wasteful number, since it uses less digits than its factorization.

5760169282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 5760169282560 in words is "five trillion, seven hundred sixty billion, one hundred sixty-nine million, two hundred eighty-two thousand, five hundred sixty".