530390788012800 has 2592 divisors, whose sum is σ = 2388736341089280. Its totient is φ = 110290835865600.

The previous prime is 530390788012777. The next prime is 530390788012801. The reversal of 530390788012800 is 8210887093035.

530390788012800 is a `hidden beast` number, since 5 + 30 + 390 + 78 + 80 + 1 + 2 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (530390788012801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11061998427 + ... + 11062046373.

Almost surely, 2^{530390788012800} is an apocalyptic number.

530390788012800 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 530390788012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194368170544640).

530390788012800 is an abundant number, since it is smaller than the sum of its proper divisors (1858345553076480).

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

530390788012800 is a wasteful number, since it uses less digits than its factorization.

530390788012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48099 (or 48077 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 530390788012800 in words is "five hundred thirty trillion, three hundred ninety billion, seven hundred eighty-eight million, twelve thousand, eight hundred".