66875368893528 has 256 divisors, whose sum is σ = 184852848660480. Its totient is φ = 20032840470528.

The previous prime is 66875368893511. The next prime is 66875368893547. The reversal of 66875368893528 is 82539886357866.

It is a happy number.

66875368893528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3631955650 + ... + 3631974062.

It is an arithmetic number, because the mean of its divisors is an integer number (722081440080).

Almost surely, 2^{66875368893528} 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 66875368893528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92426424330240).

66875368893528 is an abundant number, since it is smaller than the sum of its proper divisors (117977479766952).

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

66875368893528 is a wasteful number, since it uses less digits than its factorization.

66875368893528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19778 (or 19774 counting only the distinct ones).

The product of its digits is 25082265600, while the sum is 84.

The spelling of 66875368893528 in words is "sixty-six trillion, eight hundred seventy-five billion, three hundred sixty-eight million, eight hundred ninety-three thousand, five hundred twenty-eight".