201144824520 has 64 divisors (see below), whose sum is σ = 612440982720. Its totient is φ = 52838041344.

The previous prime is 201144824497. The next prime is 201144824521. The reversal of 201144824520 is 25428441102.

201144824520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201144824521) 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 15 ways as a sum of consecutive naturals, for example, 12500967 + ... + 12517046.

It is an arithmetic number, because the mean of its divisors is an integer number (9569390355).

Almost surely, 2^201144824520 is an apocalyptic number.

201144824520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201144824520 is an abundant number, since it is smaller than the sum of its proper divisors (411296158200).

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

201144824520 is a wasteful number, since it uses less digits than its factorization.

201144824520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25018094 (or 25018090 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 201144824520 in words is "two hundred one billion, one hundred forty-four million, eight hundred twenty-four thousand, five hundred twenty".