544808225280 has 640 divisors, whose sum is σ = 2064724992000. Its totient is φ = 121076121600.

The previous prime is 544808225263. The next prime is 544808225287. The reversal of 544808225280 is 82522808445.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (544808225287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49753246 + ... + 49764194.

It is an arithmetic number, because the mean of its divisors is an integer number (3226132800).

Almost surely, 2^544808225280 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 544808225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032362496000).

544808225280 is an abundant number, since it is smaller than the sum of its proper divisors (1519916766720).

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

544808225280 is a wasteful number, since it uses less digits than its factorization.

544808225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 48.

The spelling of 544808225280 in words is "five hundred forty-four billion, eight hundred eight million, two hundred twenty-five thousand, two hundred eighty".