201588289920 has 768 divisors, whose sum is σ = 756533494080. Its totient is φ = 51239485440.

The previous prime is 201588289873. The next prime is 201588289927. The reversal of 201588289920 is 29982885102.

It is a happy number.

201588289920 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 (201588289927) 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 95 ways as a sum of consecutive naturals, for example, 304974390 + ... + 304975050.

Almost surely, 2^201588289920 is an apocalyptic number.

201588289920 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 201588289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378266747040).

201588289920 is an abundant number, since it is smaller than the sum of its proper divisors (554945204160).

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

201588289920 is an equidigital number, since it uses as much as digits as its factorization.

201588289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 201588289920 in words is "two hundred one billion, five hundred eighty-eight million, two hundred eighty-nine thousand, nine hundred twenty".