5793582144 has 168 divisors, whose sum is σ = 18490801728. Its totient is φ = 1568056320.

The previous prime is 5793582131. The next prime is 5793582161. The reversal of 5793582144 is 4412853975.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5793582093 and 5793582102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479214 + ... + 491154.

It is an arithmetic number, because the mean of its divisors is an integer number (110064296).

Almost surely, 2^5793582144 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 5793582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9245400864).

5793582144 is an abundant number, since it is smaller than the sum of its proper divisors (12697219584).

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

5793582144 is a wasteful number, since it uses less digits than its factorization.

5793582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12001 (or 11972 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 5793582144 is about 76115.5841073298. The cubic root of 5793582144 is about 1796.0388349465.

The spelling of 5793582144 in words is "five billion, seven hundred ninety-three million, five hundred eighty-two thousand, one hundred forty-four".