5304528345600 has 3840 divisors, whose sum is σ = 24316615065600. Its totient is φ = 1116758016000.

The previous prime is 5304528345551. The next prime is 5304528345607. The reversal of 5304528345600 is 65438254035.

5304528345600 is a `hidden beast` number, since 5 + 3 + 0 + 4 + 5 + 2 + 8 + 34 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5304528345607) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 51500275149 + ... + 51500275251.

It is an arithmetic number, because the mean of its divisors is an integer number (6332451840).

Almost surely, 2^{5304528345600} is an apocalyptic number.

5304528345600 is a gapful number since it is divisible by the number (50) 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 5304528345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12158307532800).

5304528345600 is an abundant number, since it is smaller than the sum of its proper divisors (19012086720000).

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

5304528345600 is a wasteful number, since it uses less digits than its factorization.

5304528345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 5304528345600 in words is "five trillion, three hundred four billion, five hundred twenty-eight million, three hundred forty-five thousand, six hundred".