5581258368 has 192 divisors, whose sum is σ = 17347115520. Its totient is φ = 1585274880.

The previous prime is 5581258349. The next prime is 5581258369. The reversal of 5581258368 is 8638521855.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 5581258368.

It is not an unprimeable number, because it can be changed into a prime (5581258369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3593080 + ... + 3594632.

It is an arithmetic number, because the mean of its divisors is an integer number (90349560).

Almost surely, 2^5581258368 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 5581258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673557760).

5581258368 is an abundant number, since it is smaller than the sum of its proper divisors (11765857152).

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

5581258368 is a wasteful number, since it uses less digits than its factorization.

5581258368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1756 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 51.

The square root of 5581258368 is about 74707.8199922873. The cubic root of 5581258368 is about 1773.8247453133.

The spelling of 5581258368 in words is "five billion, five hundred eighty-one million, two hundred fifty-eight thousand, three hundred sixty-eight".