5807311971840 has 480 divisors, whose sum is σ = 20970016404480. Its totient is φ = 1483420925952.

The previous prime is 5807311971821. The next prime is 5807311971871. The reversal of 5807311971840 is 481791137085.

5807311971840 is a `hidden beast` number, since 580 + 7 + 3 + 1 + 1 + 9 + 7 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84822102 + ... + 84890538.

It is an arithmetic number, because the mean of its divisors is an integer number (43687534176).

Almost surely, 2^{5807311971840} 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 5807311971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485008202240).

5807311971840 is an abundant number, since it is smaller than the sum of its proper divisors (15162704432640).

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

5807311971840 is a wasteful number, since it uses less digits than its factorization.

5807311971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68622 (or 68603 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 5807311971840 in words is "five trillion, eight hundred seven billion, three hundred eleven million, nine hundred seventy-one thousand, eight hundred forty".