530321357666100 has 576 divisors, whose sum is σ = 2063286193231872. Its totient is φ = 101566054656000.

The previous prime is 530321357666071. The next prime is 530321357666159. The reversal of 530321357666100 is 1666753123035.

It is a super-2 number, since 2×530321357666100² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 530321357666100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 197162467 + ... + 199834133.

It is an arithmetic number, because the mean of its divisors is an integer number (3582094085472).

Almost surely, 2^{530321357666100} is an apocalyptic number.

530321357666100 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 530321357666100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031643096615936).

530321357666100 is an abundant number, since it is smaller than the sum of its proper divisors (1532964835565772).

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

530321357666100 is a wasteful number, since it uses less digits than its factorization.

530321357666100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672376 (or 2672369 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

The spelling of 530321357666100 in words is "five hundred thirty trillion, three hundred twenty-one billion, three hundred fifty-seven million, six hundred sixty-six thousand, one hundred".