530006730105888 has 216 divisors, whose sum is σ = 1754465110741980. Its totient is φ = 151328239534080.

The previous prime is 530006730105829. The next prime is 530006730105901. The reversal of 530006730105888 is 888501037600035.

530006730105888 is a `hidden beast` number, since 53 + 0 + 0 + 0 + 6 + 7 + 3 + 0 + 1 + 0 + 588 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 515461263027984 + 14545467077904 = 22703772^2 + 3813852^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8220208 + ... + 33579536.

Almost surely, 2^{530006730105888} 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 530006730105888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877232555370990).

530006730105888 is an abundant number, since it is smaller than the sum of its proper divisors (1224458380636092).

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

530006730105888 is a wasteful number, since it uses less digits than its factorization.

530006730105888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25360840 (or 25360822 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 530006730105888 in words is "five hundred thirty trillion, six billion, seven hundred thirty million, one hundred five thousand, eight hundred eighty-eight".