20503242144 has 288 divisors, whose sum is σ = 72870295680. Its totient is φ = 5312563200.

The previous prime is 20503242119. The next prime is 20503242191. The reversal of 20503242144 is 44124230502.

20503242144 is a `hidden beast` number, since 205 + 0 + 32 + 421 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11996362 + ... + 11998070.

It is an arithmetic number, because the mean of its divisors is an integer number (253021860).

Almost surely, 2^20503242144 is an apocalyptic number.

20503242144 is a gapful number since it is divisible by the number (24) 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 20503242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36435147840).

20503242144 is an abundant number, since it is smaller than the sum of its proper divisors (52367053536).

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

20503242144 is a wasteful number, since it uses less digits than its factorization.

20503242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20503242144 its reverse (44124230502), we get a palindrome (64627472646).

The spelling of 20503242144 in words is "twenty billion, five hundred three million, two hundred forty-two thousand, one hundred forty-four".