5807838960 has 240 divisors, whose sum is σ = 24317729280. Its totient is φ = 1206812160.

The previous prime is 5807838947. The next prime is 5807838973. The reversal of 5807838960 is 698387085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5807838947) and next prime (5807838973).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5807838897 and 5807838906.

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, 3061 + ... + 107819.

It is an arithmetic number, because the mean of its divisors is an integer number (101323872).

Almost surely, 2^5807838960 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 5807838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12158864640).

5807838960 is an abundant number, since it is smaller than the sum of its proper divisors (18509890320).

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

5807838960 is a wasteful number, since it uses less digits than its factorization.

5807838960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104796 (or 104787 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 5807838960 is about 76209.1789747141. The cubic root of 5807838960 is about 1797.5108557501.

The spelling of 5807838960 in words is "five billion, eight hundred seven million, eight hundred thirty-eight thousand, nine hundred sixty".