5859813960 has 1152 divisors, whose sum is σ = 27427196160. Its totient is φ = 1064448000.

The previous prime is 5859813923. The next prime is 5859813991. The reversal of 5859813960 is 693189585.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5859813897 and 5859813906.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 58017910 + ... + 58018010.

It is an arithmetic number, because the mean of its divisors is an integer number (23808330).

Almost surely, 2^5859813960 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 5859813960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713598080).

5859813960 is an abundant number, since it is smaller than the sum of its proper divisors (21567382200).

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

5859813960 is a wasteful number, since it uses less digits than its factorization.

5859813960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 5859813960 is about 76549.4216829886. The cubic root of 5859813960 is about 1802.8569814843.

The spelling of 5859813960 in words is "five billion, eight hundred fifty-nine million, eight hundred thirteen thousand, nine hundred sixty".