66055240551168 has 720 divisors, whose sum is σ = 225114067368960. Its totient is φ = 19081781452800.

The previous prime is 66055240551163. The next prime is 66055240551217. The reversal of 66055240551168 is 86115504255066.

66055240551168 is a `hidden beast` number, since 6 + 6 + 0 + 5 + 5 + 24 + 0 + 551 + 1 + 68 = 666.

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 (66055240551163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 473685678 + ... + 473825106.

Almost surely, 2^{66055240551168} 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 66055240551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112557033684480).

66055240551168 is an abundant number, since it is smaller than the sum of its proper divisors (159058826817792).

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

66055240551168 is a wasteful number, since it uses less digits than its factorization.

66055240551168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139566 (or 139543 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 66055240551168 in words is "sixty-six trillion, fifty-five billion, two hundred forty million, five hundred fifty-one thousand, one hundred sixty-eight".