201159000000 has 1176 divisors, whose sum is σ = 858509010944. Its totient is φ = 44064000000.

The previous prime is 201158999983. The next prime is 201159000019. The reversal of 201159000000 is 951102.

201159000000 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 (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 201159000000 = 2750³ + 5650³ = 4600³ + 4700³.

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 1952999949 + ... + 1953000051.

Almost surely, 2^201159000000 is an apocalyptic number.

201159000000 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 201159000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429254505472).

201159000000 is an abundant number, since it is smaller than the sum of its proper divisors (657350010944).

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

201159000000 is an equidigital number, since it uses as much as digits as its factorization.

201159000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 201159000000 its reverse (951102), we get a palindrome (201159951102).

The spelling of 201159000000 in words is "two hundred one billion, one hundred fifty-nine million", and thus it is an aban number.