5806828718640 has 960 divisors, whose sum is σ = 22702786928640. Its totient is φ = 1372179087360.

The previous prime is 5806828718633. The next prime is 5806828718693. The reversal of 5806828718640 is 468178286085.

5806828718640 is a `hidden beast` number, since 5 + 80 + 68 + 287 + 186 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 379052901 + ... + 379068219.

It is an arithmetic number, because the mean of its divisors is an integer number (23648736384).

Almost surely, 2^{5806828718640} 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 5806828718640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11351393464320).

5806828718640 is an abundant number, since it is smaller than the sum of its proper divisors (16895958210000).

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

5806828718640 is a wasteful number, since it uses less digits than its factorization.

5806828718640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15432 (or 15414 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 5806828718640 in words is "five trillion, eight hundred six billion, eight hundred twenty-eight million, seven hundred eighteen thousand, six hundred forty".