544564133120 has 288 divisors, whose sum is σ = 1567883132928. Its totient is φ = 177175240704.

The previous prime is 544564133093. The next prime is 544564133123. The reversal of 544564133120 is 21331465445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544564133123) 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 31 ways as a sum of consecutive naturals, for example, 26161757 + ... + 26182563.

It is an arithmetic number, because the mean of its divisors is an integer number (5444038656).

Almost surely, 2^544564133120 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 544564133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783941566464).

544564133120 is an abundant number, since it is smaller than the sum of its proper divisors (1023318999808).

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

544564133120 is a wasteful number, since it uses less digits than its factorization.

544564133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20985 (or 20971 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 544564133120 its reverse (21331465445), we get a palindrome (565895598565).

The spelling of 544564133120 in words is "five hundred forty-four billion, five hundred sixty-four million, one hundred thirty-three thousand, one hundred twenty".