201270920256 has 336 divisors, whose sum is σ = 685610796416. Its totient is φ = 57348808704.

The previous prime is 201270920243. The next prime is 201270920267. The reversal of 201270920256 is 652029072102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×201270920256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 201270920256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43216680 + ... + 43221336.

Almost surely, 2^201270920256 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 201270920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342805398208).

201270920256 is an abundant number, since it is smaller than the sum of its proper divisors (484339876160).

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

201270920256 is an equidigital number, since it uses as much as digits as its factorization.

201270920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 201270920256 its reverse (652029072102), we get a palindrome (853299992358).

The spelling of 201270920256 in words is "two hundred one billion, two hundred seventy million, nine hundred twenty thousand, two hundred fifty-six".