530207805093120 has 5184 divisors, whose sum is σ = 2480982420833280. Its totient is φ = 108061228154880.

The previous prime is 530207805093107. The next prime is 530207805093139. The reversal of 530207805093120 is 21390508702035.

530207805093120 is a `hidden beast` number, since 5 + 3 + 0 + 20 + 78 + 0 + 509 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×530207805093120² (a number of 30 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 1196857347619 + ... + 1196857348061.

It is an arithmetic number, because the mean of its divisors is an integer number (478584571920).

Almost surely, 2^{530207805093120} 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 530207805093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240491210416640).

530207805093120 is an abundant number, since it is smaller than the sum of its proper divisors (1950774615740160).

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

530207805093120 is an equidigital number, since it uses as much as digits as its factorization.

530207805093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 530207805093120 in words is "five hundred thirty trillion, two hundred seven billion, eight hundred five million, ninety-three thousand, one hundred twenty".