5665682160 has 160 divisors (see below), whose sum is σ = 19540445760. Its totient is φ = 1508889600.

The previous prime is 5665682147. The next prime is 5665682167. The reversal of 5665682160 is 612865665.

It is a happy number.

5665682160 is a `hidden beast` number, since 5 + 6 + 6 + 568 + 21 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5665682167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2549850 + ... + 2552070.

It is an arithmetic number, because the mean of its divisors is an integer number (122127786).

Almost surely, 2^5665682160 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 5665682160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770222880).

5665682160 is an abundant number, since it is smaller than the sum of its proper divisors (13874763600).

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

5665682160 is a wasteful number, since it uses less digits than its factorization.

5665682160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5665682160 is about 75270.7257836671. The cubic root of 5665682160 is about 1782.7238270717.

The spelling of 5665682160 in words is "five billion, six hundred sixty-five million, six hundred eighty-two thousand, one hundred sixty".