201566117555712 has 2880 divisors, whose sum is σ = 784234735764480. Its totient is φ = 48638382833664.

The previous prime is 201566117555711. The next prime is 201566117555717. The reversal of 201566117555712 is 217555711665102.

201566117555712 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 6 + 6 + 1 + 1 + 75 + 557 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201566117555711) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 400727867653 + ... + 400727868155.

It is an arithmetic number, because the mean of its divisors is an integer number (272303727696).

Almost surely, 2^{201566117555712} 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 201566117555712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392117367882240).

201566117555712 is an abundant number, since it is smaller than the sum of its proper divisors (582668618208768).

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

201566117555712 is a wasteful number, since it uses less digits than its factorization.

201566117555712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 4410000, while the sum is 54.

The spelling of 201566117555712 in words is "two hundred one trillion, five hundred sixty-six billion, one hundred seventeen million, five hundred fifty-five thousand, seven hundred twelve".