66117071156256 has 288 divisors, whose sum is σ = 204192929880576. Its totient is φ = 20245510656000.

The previous prime is 66117071156221. The next prime is 66117071156261. The reversal of 66117071156256 is 65265117071166.

66117071156256 is a `hidden beast` number, since 6 + 6 + 1 + 1 + 7 + 0 + 7 + 1 + 1 + 5 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11102911 + ... + 15984641.

It is an arithmetic number, because the mean of its divisors is an integer number (709003228752).

Almost surely, 2^{66117071156256} 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 66117071156256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102096464940288).

66117071156256 is an abundant number, since it is smaller than the sum of its proper divisors (138075858724320).

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

66117071156256 is a wasteful number, since it uses less digits than its factorization.

66117071156256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881856 (or 4881845 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 66117071156256 in words is "sixty-six trillion, one hundred seventeen billion, seventy-one million, one hundred fifty-six thousand, two hundred fifty-six".