5303288148480 has 960 divisors, whose sum is σ = 21919424567040. Its totient is φ = 1159333281792.

The previous prime is 5303288148449. The next prime is 5303288148481. The reversal of 5303288148480 is 848418823035.

5303288148480 is a `hidden beast` number, since 5 + 3 + 0 + 3 + 2 + 8 + 81 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (5303288148481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 500446542 + ... + 500457138.

It is an arithmetic number, because the mean of its divisors is an integer number (22832733924).

Almost surely, 2^{5303288148480} 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 5303288148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10959712283520).

5303288148480 is an abundant number, since it is smaller than the sum of its proper divisors (16616136418560).

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

5303288148480 is a wasteful number, since it uses less digits than its factorization.

5303288148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10769 (or 10750 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 5303288148480 in words is "five trillion, three hundred three billion, two hundred eighty-eight million, one hundred forty-eight thousand, four hundred eighty".