201500053967168 has 448 divisors, whose sum is σ = 485990684282880. Its totient is φ = 82498196183040.

The previous prime is 201500053967161. The next prime is 201500053967189. The reversal of 201500053967168 is 861769350005102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201500053967161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6216626930 + ... + 6216659342.

It is an arithmetic number, because the mean of its divisors is an integer number (1084800634560).

Almost surely, 2^{201500053967168} 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 201500053967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242995342141440).

201500053967168 is an abundant number, since it is smaller than the sum of its proper divisors (284490630315712).

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

201500053967168 is a wasteful number, since it uses less digits than its factorization.

201500053967168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32667 (or 32635 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 53.

The spelling of 201500053967168 in words is "two hundred one trillion, five hundred billion, fifty-three million, nine hundred sixty-seven thousand, one hundred sixty-eight".