66588831399204 has 243 divisors, whose sum is σ = 174612254675313. Its totient is φ = 21396430845504.

The previous prime is 66588831399187. The next prime is 66588831399227. The reversal of 66588831399204 is 40299313888566.

It is a happy number.

The square root of 66588831399204 is 8160198.

It is a perfect power (a square), and thus also a powerful number.

66588831399204 is a `hidden beast` number, since 6 + 6 + 588 + 8 + 3 + 1 + 39 + 9 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48003696540900 + 18585134858304 = 6928470^2 + 4311048^2 .

It is a super-2 number, since 2×66588831399204² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 173861178397 + ... + 173861178779.

Almost surely, 2^{66588831399204} is an apocalyptic number.

66588831399204 is the 8160198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66588831399204

66588831399204 is an abundant number, since it is smaller than the sum of its proper divisors (108023423276109).

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

66588831399204 is an equidigital number, since it uses as much as digits as its factorization.

66588831399204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 66588831399204 in words is "sixty-six trillion, five hundred eighty-eight billion, eight hundred thirty-one million, three hundred ninety-nine thousand, two hundred four".