566049669120 has 1280 divisors, whose sum is σ = 2326013308080. Its totient is φ = 130459631616.

The previous prime is 566049669109. The next prime is 566049669127. The reversal of 566049669120 is 21966940665.

566049669120 is a `hidden beast` number, since 5 + 6 + 60 + 496 + 6 + 91 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 145398841344 + 420650827776 = 381312^2 + 648576^2 .

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×566049669120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (566049669127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2932899744 + ... + 2932899936.

Almost surely, 2^566049669120 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 566049669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163006654040).

566049669120 is an abundant number, since it is smaller than the sum of its proper divisors (1759963638960).

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

566049669120 is a wasteful number, since it uses less digits than its factorization.

566049669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 566049669120 in words is "five hundred sixty-six billion, forty-nine million, six hundred sixty-nine thousand, one hundred twenty".