201800941056 has 1280 divisors, whose sum is σ = 752351846400. Its totient is φ = 52553318400.

The previous prime is 201800940997. The next prime is 201800941073. The reversal of 201800941056 is 650149008102.

It is a super-2 number, since 2×201800941056² (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 201800941056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2267426260 + ... + 2267426348.

It is an arithmetic number, because the mean of its divisors is an integer number (587774880).

Almost surely, 2^201800941056 is an apocalyptic number.

201800941056 is a gapful number since it is divisible by the number (26) 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 201800941056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376175923200).

201800941056 is an abundant number, since it is smaller than the sum of its proper divisors (550550905344).

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

201800941056 is a wasteful number, since it uses less digits than its factorization.

201800941056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 201800941056 its reverse (650149008102), we get a palindrome (851949949158).

The spelling of 201800941056 in words is "two hundred one billion, eight hundred million, nine hundred forty-one thousand, fifty-six".