66256587169716 has 192 divisors, whose sum is σ = 171851971737600. Its totient is φ = 19795574582784.

The previous prime is 66256587169637. The next prime is 66256587169723. The reversal of 66256587169716 is 61796178565266.

66256587169716 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, 53421915 + ... + 54648093.

It is an arithmetic number, because the mean of its divisors is an integer number (895062352800).

Almost surely, 2^{66256587169716} 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 66256587169716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85925985868800).

66256587169716 is an abundant number, since it is smaller than the sum of its proper divisors (105595384567884).

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

66256587169716 is a wasteful number, since it uses less digits than its factorization.

66256587169716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226438 (or 1226436 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 75.

The spelling of 66256587169716 in words is "sixty-six trillion, two hundred fifty-six billion, five hundred eighty-seven million, one hundred sixty-nine thousand, seven hundred sixteen".