201289052160 has 2496 divisors, whose sum is σ = 968136883200. Its totient is φ = 39239811072.

The previous prime is 201289052131. The next prime is 201289052227. The reversal of 201289052160 is 61250982102.

201289052160 is a `hidden beast` number, since 2 + 0 + 128 + 9 + 0 + 521 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8751697909 + ... + 8751697931.

Almost surely, 2^201289052160 is an apocalyptic number.

201289052160 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 201289052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484068441600).

201289052160 is an abundant number, since it is smaller than the sum of its proper divisors (766847831040).

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

201289052160 is a wasteful number, since it uses less digits than its factorization.

201289052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 201289052160 in words is "two hundred one billion, two hundred eighty-nine million, fifty-two thousand, one hundred sixty".