5781135360 has 896 divisors, whose sum is σ = 25365602304. Its totient is φ = 1085276160.

The previous prime is 5781135343. The next prime is 5781135361. The reversal of 5781135360 is 635311875.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5781135361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123002857 + ... + 123002903.

It is an arithmetic number, because the mean of its divisors is an integer number (28309824).

Almost surely, 2^5781135360 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 5781135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12682801152).

5781135360 is an abundant number, since it is smaller than the sum of its proper divisors (19584466944).

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

5781135360 is a wasteful number, since it uses less digits than its factorization.

5781135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5781135360 is about 76033.7777569943. Note that the first 4 decimals coincide. The cubic root of 5781135360 is about 1794.7517247777.

It can be divided in two parts, 5781 and 135360, that added together give a palindrome (141141).

The spelling of 5781135360 in words is "five billion, seven hundred eighty-one million, one hundred thirty-five thousand, three hundred sixty".