201327325056 has 384 divisors, whose sum is σ = 686054154240. Its totient is φ = 55866101760.

The previous prime is 201327325051. The next prime is 201327325079. The reversal of 201327325056 is 650523723102.

201327325056 is a `hidden beast` number, since 2 + 0 + 1 + 327 + 325 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 201327325056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201327325051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20916661 + ... + 20926283.

It is an arithmetic number, because the mean of its divisors is an integer number (1786599360).

Almost surely, 2^201327325056 is an apocalyptic number.

201327325056 is a gapful number since it is divisible by the number (26) 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 201327325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343027077120).

201327325056 is an abundant number, since it is smaller than the sum of its proper divisors (484726829184).

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

201327325056 is a wasteful number, since it uses less digits than its factorization.

201327325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 201327325056 in words is "two hundred one billion, three hundred twenty-seven million, three hundred twenty-five thousand, fifty-six".