56668284288 has 768 divisors, whose sum is σ = 213583104000. Its totient is φ = 14657448960.

The previous prime is 56668284259. The next prime is 56668284289. The reversal of 56668284288 is 88248286665.

It is a super-2 number, since 2×56668284288² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56668284289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237105673 + ... + 237105911.

It is an arithmetic number, because the mean of its divisors is an integer number (278103000).

Almost surely, 2^56668284288 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 56668284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106791552000).

56668284288 is an abundant number, since it is smaller than the sum of its proper divisors (156914819712).

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

56668284288 is an equidigital number, since it uses as much as digits as its factorization.

56668284288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 262 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 56668284288 in words is "fifty-six billion, six hundred sixty-eight million, two hundred eighty-four thousand, two hundred eighty-eight".