530609688322560 has 2880 divisors, whose sum is σ = 2379508863114240. Its totient is φ = 108023661527040.

The previous prime is 530609688322543. The next prime is 530609688322573. The reversal of 530609688322560 is 65223886906035.

530609688322560 is a `hidden beast` number, since 5 + 3 + 0 + 6 + 0 + 9 + 68 + 8 + 3 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 254245177837 + ... + 254245179923.

It is an arithmetic number, because the mean of its divisors is an integer number (826218355248).

Almost surely, 2^{530609688322560} 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 530609688322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189754431557120).

530609688322560 is an abundant number, since it is smaller than the sum of its proper divisors (1848899174791680).

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

530609688322560 is a wasteful number, since it uses less digits than its factorization.

530609688322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 530609688322560 in words is "five hundred thirty trillion, six hundred nine billion, six hundred eighty-eight million, three hundred twenty-two thousand, five hundred sixty".