5813859960 has 192 divisors, whose sum is σ = 19763714880. Its totient is φ = 1479413760.

The previous prime is 5813859949. The next prime is 5813859967. The reversal of 5813859960 is 699583185.

It is a happy number.

5813859960 is a `hidden beast` number, since 581 + 3 + 8 + 59 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5813859897 and 5813859906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813859967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6598720 + ... + 6599600.

It is an arithmetic number, because the mean of its divisors is an integer number (102936015).

Almost surely, 2^5813859960 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 5813859960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9881857440).

5813859960 is an abundant number, since it is smaller than the sum of its proper divisors (13949854920).

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

5813859960 is a wasteful number, since it uses less digits than its factorization.

5813859960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1711 counting only the distinct ones).

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

The square root of 5813859960 is about 76248.6718572855. The cubic root of 5813859960 is about 1798.1318024326.

The spelling of 5813859960 in words is "five billion, eight hundred thirteen million, eight hundred fifty-nine thousand, nine hundred sixty".