201166284533760 has 7488 divisors, whose sum is σ = 986725111357440. Its totient is φ = 38847412961280.

The previous prime is 201166284533749. The next prime is 201166284533813. The reversal of 201166284533760 is 67335482661102.

201166284533760 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 6 + 628 + 4 + 5 + 3 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7488).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 201166284533697 and 201166284533706.

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 575 ways as a sum of consecutive naturals, for example, 2260295331796 + ... + 2260295331884.

It is an arithmetic number, because the mean of its divisors is an integer number (131774186880).

Almost surely, 2^{201166284533760} is an apocalyptic number.

201166284533760 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 201166284533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493362555678720).

201166284533760 is an abundant number, since it is smaller than the sum of its proper divisors (785558826823680).

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

201166284533760 is a wasteful number, since it uses less digits than its factorization.

201166284533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 201166284533760 in words is "two hundred one trillion, one hundred sixty-six billion, two hundred eighty-four million, five hundred thirty-three thousand, seven hundred sixty".