530504488800 has 1152 divisors, whose sum is σ = 2386917227520. Its totient is φ = 111720038400.

The previous prime is 530504488771. The next prime is 530504488819. The reversal of 530504488800 is 8884405035.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52504549 + ... + 52514651.

It is an arithmetic number, because the mean of its divisors is an integer number (2071976760).

Almost surely, 2^530504488800 is an apocalyptic number.

530504488800 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 530504488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193458613760).

530504488800 is an abundant number, since it is smaller than the sum of its proper divisors (1856412738720).

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

530504488800 is a wasteful number, since it uses less digits than its factorization.

530504488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10173 (or 10154 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 530504488800 in words is "five hundred thirty billion, five hundred four million, four hundred eighty-eight thousand, eight hundred".