201632305152000 has 512 divisors, whose sum is σ = 673324272915840. Its totient is φ = 53584147251200.

The previous prime is 201632305151983. The next prime is 201632305152001. The reversal of 201632305152000 is 251503236102.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (201632305152001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3600355999 + ... + 3600412001.

Almost surely, 2^{201632305152000} is an apocalyptic number.

201632305152000 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 201632305152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336662136457920).

201632305152000 is an abundant number, since it is smaller than the sum of its proper divisors (471691967763840).

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

201632305152000 is an frugal number, since it uses more digits than its factorization.

201632305152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56344 (or 56306 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 201632305152000 its reverse (251503236102), we get a palindrome (201883808388102).

The spelling of 201632305152000 in words is "two hundred one trillion, six hundred thirty-two billion, three hundred five million, one hundred fifty-two thousand".