530966540954304 has 896 divisors, whose sum is σ = 1962818126151680. Its totient is φ = 137028931780608.

The previous prime is 530966540954261. The next prime is 530966540954363. The reversal of 530966540954304 is 403459045669035.

530966540954304 is a `hidden beast` number, since 5 + 3 + 0 + 9 + 6 + 6 + 540 + 9 + 54 + 30 + 4 = 666.

It is a super-2 number, since 2×530966540954304² (a number of 30 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 1457664102 + ... + 1458028314.

It is an arithmetic number, because the mean of its divisors is an integer number (2190645230080).

Almost surely, 2^{530966540954304} is an apocalyptic number.

530966540954304 is a gapful number since it is divisible by the number (54) 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 530966540954304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981409063075840).

530966540954304 is an abundant number, since it is smaller than the sum of its proper divisors (1431851585197376).

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

530966540954304 is a wasteful number, since it uses less digits than its factorization.

530966540954304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364454 (or 364438 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 63.

The spelling of 530966540954304 in words is "five hundred thirty trillion, nine hundred sixty-six billion, five hundred forty million, nine hundred fifty-four thousand, three hundred four".