530006521680864 has 288 divisors, whose sum is σ = 1545730542720000. Its totient is φ = 172224158026752.

The previous prime is 530006521680863. The next prime is 530006521681079. The reversal of 530006521680864 is 468086125600035.

530006521680864 is a `hidden beast` number, since 5 + 30 + 0 + 0 + 6 + 521 + 6 + 8 + 0 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×530006521680864² (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 530006521680864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530006521680863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565669927 + ... + 566606105.

It is an arithmetic number, because the mean of its divisors is an integer number (5367119940000).

Almost surely, 2^{530006521680864} 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 530006521680864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772865271360000).

530006521680864 is an abundant number, since it is smaller than the sum of its proper divisors (1015724021039136).

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

530006521680864 is a wasteful number, since it uses less digits than its factorization.

530006521680864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936590 (or 936579 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 530006521680864 in words is "five hundred thirty trillion, six billion, five hundred twenty-one million, six hundred eighty thousand, eight hundred sixty-four".