5681165008896 has 768 divisors, whose sum is σ = 18611277310080. Its totient is φ = 1721200803840.

The previous prime is 5681165008867. The next prime is 5681165008903. The reversal of 5681165008896 is 6988005611865.

5681165008896 is a `hidden beast` number, since 5 + 6 + 8 + 116 + 500 + 8 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7349501566 + ... + 7349502338.

Almost surely, 2^{5681165008896} 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 5681165008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9305638655040).

5681165008896 is an abundant number, since it is smaller than the sum of its proper divisors (12930112301184).

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

5681165008896 is an frugal number, since it uses more digits than its factorization.

5681165008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 5681165008896 in words is "five trillion, six hundred eighty-one billion, one hundred sixty-five million, eight thousand, eight hundred ninety-six".