201996558432 has 240 divisors, whose sum is σ = 630433564992. Its totient is φ = 63228211200.

The previous prime is 201996558397. The next prime is 201996558433. The reversal of 201996558432 is 234855699102.

201996558432 is a `hidden beast` number, since 20 + 1 + 9 + 9 + 6 + 5 + 584 + 32 = 666.

201996558432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201996558433) 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 39 ways as a sum of consecutive naturals, for example, 20396682 + ... + 20406582.

Almost surely, 2^201996558432 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 201996558432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315216782496).

201996558432 is an abundant number, since it is smaller than the sum of its proper divisors (428437006560).

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

201996558432 is a wasteful number, since it uses less digits than its factorization.

201996558432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10386 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 201996558432 in words is "two hundred one billion, nine hundred ninety-six million, five hundred fifty-eight thousand, four hundred thirty-two".