5806849983840 has 768 divisors, whose sum is σ = 21955730227200. Its totient is φ = 1428654495744.

The previous prime is 5806849983817. The next prime is 5806849983863. The reversal of 5806849983840 is 483899486085.

5806849983840 is a `hidden beast` number, since 5 + 8 + 0 + 68 + 499 + 8 + 38 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5806849983817) and next prime (5806849983863).

It is a super-2 number, since 2×5806849983840² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1295302239 + ... + 1295306721.

It is an arithmetic number, because the mean of its divisors is an integer number (28588190400).

Almost surely, 2^{5806849983840} 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 5806849983840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977865113600).

5806849983840 is an abundant number, since it is smaller than the sum of its proper divisors (16148880243360).

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

5806849983840 is a wasteful number, since it uses less digits than its factorization.

5806849983840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 5806849983840 in words is "five trillion, eight hundred six billion, eight hundred forty-nine million, nine hundred eighty-three thousand, eight hundred forty".