5801160960 has 648 divisors, whose sum is σ = 23991327360. Its totient is φ = 1289723904.

The previous prime is 5801160949. The next prime is 5801160961. The reversal of 5801160960 is 690611085.

5801160960 is a `hidden beast` number, since 580 + 1 + 16 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5801160961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24272521 + ... + 24272759.

Almost surely, 2^5801160960 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 5801160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995663680).

5801160960 is an abundant number, since it is smaller than the sum of its proper divisors (18190166400).

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

5801160960 is a wasteful number, since it uses less digits than its factorization.

5801160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5801160960 is about 76165.3527530727. The cubic root of 5801160960 is about 1796.8216503924.

The spelling of 5801160960 in words is "five billion, eight hundred one million, one hundred sixty thousand, nine hundred sixty".