5685584576 has 112 divisors (see below), whose sum is σ = 13431877632. Its totient is φ = 2336947200.

The previous prime is 5685584573. The next prime is 5685584599. The reversal of 5685584576 is 6754855865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (5685584573) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1174481 + ... + 1179311.

Almost surely, 2^5685584576 is an apocalyptic number.

5685584576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5685584576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715938816).

5685584576 is an abundant number, since it is smaller than the sum of its proper divisors (7746293056).

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

5685584576 is a wasteful number, since it uses less digits than its factorization.

5685584576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4948 counting only the distinct ones).

The product of its digits is 40320000, while the sum is 59.

The square root of 5685584576 is about 75402.8154381519. The cubic root of 5685584576 is about 1784.8088391249.

The spelling of 5685584576 in words is "five billion, six hundred eighty-five million, five hundred eighty-four thousand, five hundred seventy-six".