201958204800 has 1536 divisors, whose sum is σ = 839260569600. Its totient is φ = 42024960000.

The previous prime is 201958204787. The next prime is 201958204801. The reversal of 201958204800 is 8402859102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201958204801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1057372705 + ... + 1057372895.

It is an arithmetic number, because the mean of its divisors is an integer number (546393600).

Almost surely, 2^201958204800 is an apocalyptic number.

201958204800 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 201958204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419630284800).

201958204800 is an abundant number, since it is smaller than the sum of its proper divisors (637302364800).

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

201958204800 is a wasteful number, since it uses less digits than its factorization.

201958204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 201958204800 in words is "two hundred one billion, nine hundred fifty-eight million, two hundred four thousand, eight hundred".