5818800960 has 252 divisors, whose sum is σ = 23282448228. Its totient is φ = 1329979392.

The previous prime is 5818800947. The next prime is 5818800989. The reversal of 5818800960 is 690088185.

5818800960 is a `hidden beast` number, since 581 + 8 + 8 + 0 + 0 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2181263616 + 3637537344 = 46704^2 + 60312^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×5818800960² = 67716889224193843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120504 + ... + 161736.

Almost surely, 2^5818800960 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 5818800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11641224114).

5818800960 is an abundant number, since it is smaller than the sum of its proper divisors (17463647268).

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

5818800960 is a wasteful number, since it uses less digits than its factorization.

5818800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41270 (or 41250 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 5818800960 is about 76281.0655405390. The cubic root of 5818800960 is about 1798.6410483603.

The spelling of 5818800960 in words is "five billion, eight hundred eighteen million, eight hundred thousand, nine hundred sixty".