5799548160 has 720 divisors, whose sum is σ = 24289195392. Its totient is φ = 1293926400.

The previous prime is 5799548143. The next prime is 5799548171. The reversal of 5799548160 is 618459975.

5799548160 is a `hidden beast` number, since 5 + 7 + 99 + 548 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5799548097 and 5799548106.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 44271295 + ... + 44271425.

Almost surely, 2^5799548160 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 5799548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12144597696).

5799548160 is an abundant number, since it is smaller than the sum of its proper divisors (18489647232).

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

5799548160 is a wasteful number, since it uses less digits than its factorization.

5799548160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 5799548160 is about 76154.7645259310. The cubic root of 5799548160 is about 1796.6551215101.

The spelling of 5799548160 in words is "five billion, seven hundred ninety-nine million, five hundred forty-eight thousand, one hundred sixty".