566125148160 has 2304 divisors, whose sum is σ = 2512187758080. Its totient is φ = 120394874880.

The previous prime is 566125148137. The next prime is 566125148161. The reversal of 566125148160 is 61841521665.

566125148160 is a `hidden beast` number, since 5 + 6 + 61 + 2 + 51 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (566125148161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13165701099 + ... + 13165701141.

It is an arithmetic number, because the mean of its divisors is an integer number (1090359270).

Almost surely, 2^566125148160 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 566125148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256093879040).

566125148160 is an abundant number, since it is smaller than the sum of its proper divisors (1946062609920).

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

566125148160 is a wasteful number, since it uses less digits than its factorization.

566125148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 566125148160 in words is "five hundred sixty-six billion, one hundred twenty-five million, one hundred forty-eight thousand, one hundred sixty".