5686776668160 has 1008 divisors, whose sum is σ = 23402146150656. Its totient is φ = 1299404685312.

The previous prime is 5686776668117. The next prime is 5686776668171. The reversal of 5686776668160 is 618666776865.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1881168409 + ... + 1881171431.

It is an arithmetic number, because the mean of its divisors is an integer number (23216414832).

Almost surely, 2^{5686776668160} 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 5686776668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11701073075328).

5686776668160 is an abundant number, since it is smaller than the sum of its proper divisors (17715369482496).

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

5686776668160 is an frugal number, since it uses more digits than its factorization.

5686776668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 5686776668160 in words is "five trillion, six hundred eighty-six billion, seven hundred seventy-six million, six hundred sixty-eight thousand, one hundred sixty".