566851656672 has 288 divisors, whose sum is σ = 1904898078720. Its totient is φ = 156469294080.

The previous prime is 566851656647. The next prime is 566851656689. The reversal of 566851656672 is 276656158665.

566851656672 is a `hidden beast` number, since 5 + 6 + 6 + 8 + 516 + 56 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38677698 + ... + 38692350.

It is an arithmetic number, because the mean of its divisors is an integer number (6614229440).

Almost surely, 2^566851656672 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 566851656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952449039360).

566851656672 is an abundant number, since it is smaller than the sum of its proper divisors (1338046422048).

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

566851656672 is a wasteful number, since it uses less digits than its factorization.

566851656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15326 (or 15315 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 566851656672 in words is "five hundred sixty-six billion, eight hundred fifty-one million, six hundred fifty-six thousand, six hundred seventy-two".