530991934341120 has 3520 divisors, whose sum is σ = 2332372844077056. Its totient is φ = 113010655887360.

The previous prime is 530991934341083. The next prime is 530991934341191. The reversal of 530991934341120 is 21143439199035.

530991934341120 is a `hidden beast` number, since 5 + 3 + 0 + 9 + 9 + 1 + 93 + 434 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7925252751327 + ... + 7925252751393.

Almost surely, 2^{530991934341120} 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 530991934341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166186422038528).

530991934341120 is an abundant number, since it is smaller than the sum of its proper divisors (1801380909735936).

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

530991934341120 is an frugal number, since it uses more digits than its factorization.

530991934341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 530991934341120 in words is "five hundred thirty trillion, nine hundred ninety-one billion, nine hundred thirty-four million, three hundred forty-one thousand, one hundred twenty".