201198073600 has 216 divisors, whose sum is σ = 531478983168. Its totient is φ = 75143577600.

The previous prime is 201198073597. The next prime is 201198073607. The reversal of 201198073600 is 6370891102.

201198073600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201198073600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201198073607) 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 23 ways as a sum of consecutive naturals, for example, 13810320 + ... + 13824880.

It is an arithmetic number, because the mean of its divisors is an integer number (2460550848).

Almost surely, 2^201198073600 is an apocalyptic number.

201198073600 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 201198073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265739491584).

201198073600 is an abundant number, since it is smaller than the sum of its proper divisors (330280909568).

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

201198073600 is a wasteful number, since it uses less digits than its factorization.

201198073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14731 (or 14712 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 201198073600 in words is "two hundred one billion, one hundred ninety-eight million, seventy-three thousand, six hundred".