201166351176960 has 1728 divisors, whose sum is σ = 786299396500800. Its totient is φ = 47141546360832.

The previous prime is 201166351176953. The next prime is 201166351176991. The reversal of 201166351176960 is 69671153661102.

201166351176960 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 6 + 6 + 3 + 511 + 7 + 69 + 60 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 191850865848576 + 9315485328384 = 13851024^2 + 3052128^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201166351176897 and 201166351176906.

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 191 ways as a sum of consecutive naturals, for example, 252404455282 + ... + 252404456078.

It is an arithmetic number, because the mean of its divisors is an integer number (455034372975).

Almost surely, 2^{201166351176960} is an apocalyptic number.

201166351176960 is a gapful number since it is divisible by the number (20) 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 201166351176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393149698250400).

201166351176960 is an abundant number, since it is smaller than the sum of its proper divisors (585133045323840).

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

201166351176960 is a wasteful number, since it uses less digits than its factorization.

201166351176960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 201166351176960 in words is "two hundred one trillion, one hundred sixty-six billion, three hundred fifty-one million, one hundred seventy-six thousand, nine hundred sixty".