56666807137248 has 192 divisors, whose sum is σ = 185704626143232. Its totient is φ = 14698840020480.

The previous prime is 56666807137243. The next prime is 56666807137301. The reversal of 56666807137248 is 84273170866665.

56666807137248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56666807137248² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56666807137243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333465 + ... + 10651047.

It is an arithmetic number, because the mean of its divisors is an integer number (967211594496).

Almost surely, 2^{56666807137248} 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 56666807137248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92852313071616).

56666807137248 is an abundant number, since it is smaller than the sum of its proper divisors (129037819005984).

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

56666807137248 is a wasteful number, since it uses less digits than its factorization.

56666807137248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10318357 (or 10318349 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 69.

The spelling of 56666807137248 in words is "fifty-six trillion, six hundred sixty-six billion, eight hundred seven million, one hundred thirty-seven thousand, two hundred forty-eight".