5665180160 has 160 divisors (see below), whose sum is σ = 14179516560. Its totient is φ = 2168061952.

The previous prime is 5665180141. The next prime is 5665180187. The reversal of 5665180160 is 610815665.

It can be written as a sum of positive squares in 8 ways, for example, as 1439140096 + 4226040064 = 37936^2 + 65008^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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, 10170602 + ... + 10171158.

Almost surely, 2^5665180160 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 5665180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089758280).

5665180160 is an abundant number, since it is smaller than the sum of its proper divisors (8514336400).

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

5665180160 is a wasteful number, since it uses less digits than its factorization.

5665180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 5665180160 is about 75267.3910800687. The cubic root of 5665180160 is about 1782.6711735831.

The spelling of 5665180160 in words is "five billion, six hundred sixty-five million, one hundred eighty thousand, one hundred sixty".