566009277120 has 1792 divisors, whose sum is σ = 2566055116800. Its totient is φ = 114449448960.

The previous prime is 566009277109. The next prime is 566009277121. The reversal of 566009277120 is 21772900665.

566009277120 is a `hidden beast` number, since 5 + 6 + 600 + 9 + 27 + 7 + 12 + 0 = 666.

It is a super-3 number, since 3×566009277120³ (a number of 36 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (566009277121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1222482009 + ... + 1222482471.

It is an arithmetic number, because the mean of its divisors is an integer number (1431950400).

Almost surely, 2^566009277120 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 566009277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283027558400).

566009277120 is an abundant number, since it is smaller than the sum of its proper divisors (2000045839680).

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

566009277120 is a wasteful number, since it uses less digits than its factorization.

566009277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 566009277120 in words is "five hundred sixty-six billion, nine million, two hundred seventy-seven thousand, one hundred twenty".