20004800288 has 54 divisors (see below), whose sum is σ = 43309400337. Its totient is φ = 9089090560.

The previous prime is 20004800281. The next prime is 20004800311. The reversal of 20004800288 is 88200840002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 16248091024 + 3756709264 = 127468^2 + 61292^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=100012.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20004800281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8799920 + ... + 8802192.

Almost surely, 2^20004800288 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 20004800288

20004800288 is an abundant number, since it is smaller than the sum of its proper divisors (23304600049).

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

20004800288 is an frugal number, since it uses more digits than its factorization.

20004800288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

Multiplying 20004800288 by its sum of digits (32), we get a square (640153609216 = 800096²).

20004800288 divided by its sum of digits (32) gives a square (625150009 = 25003²).

Multiplying 20004800288 by its product of nonzero digits (8192), we get a square (163879323959296 = 12801536²).

The spelling of 20004800288 in words is "twenty billion, four million, eight hundred thousand, two hundred eighty-eight".