66868586803200 has 3744 divisors, whose sum is σ = 291733826506752. Its totient is φ = 13377208320000.

The previous prime is 66868586803159. The next prime is 66868586803237. The reversal of 66868586803200 is 230868586866.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 442838323125 + ... + 442838323275.

Almost surely, 2^{66868586803200} is an apocalyptic number.

66868586803200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66868586803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145866913253376).

66868586803200 is an abundant number, since it is smaller than the sum of its proper divisors (224865239703552).

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

66868586803200 is a wasteful number, since it uses less digits than its factorization.

66868586803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 66.

The spelling of 66868586803200 in words is "sixty-six trillion, eight hundred sixty-eight billion, five hundred eighty-six million, eight hundred three thousand, two hundred".