5801040168 has 256 divisors, whose sum is σ = 18855936000. Its totient is φ = 1443225600.

The previous prime is 5801040139. The next prime is 5801040191. The reversal of 5801040168 is 8610401085.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6243928 + ... + 6244856.

It is an arithmetic number, because the mean of its divisors is an integer number (73656000).

Almost surely, 2^5801040168 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 5801040168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427968000).

5801040168 is an abundant number, since it is smaller than the sum of its proper divisors (13054895832).

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

5801040168 is a wasteful number, since it uses less digits than its factorization.

5801040168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 5801040168 is about 76164.5597899706. The cubic root of 5801040168 is about 1796.8091791423.

The spelling of 5801040168 in words is "five billion, eight hundred one million, forty thousand, one hundred sixty-eight".