566180160 has 224 divisors, whose sum is σ = 2212799232. Its totient is φ = 119439360.

The previous prime is 566180149. The next prime is 566180207. The reversal of 566180160 is 61081665.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84120 + ... + 90600.

It is an arithmetic number, because the mean of its divisors is an integer number (9878568).

Almost surely, 2^566180160 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 566180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106399616).

566180160 is an abundant number, since it is smaller than the sum of its proper divisors (1646619072).

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

566180160 is a wasteful number, since it uses less digits than its factorization.

566180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 566180160 is about 23794.5405503027. The cubic root of 566180160 is about 827.2781404907.

The spelling of 566180160 in words is "five hundred sixty-six million, one hundred eighty thousand, one hundred sixty".