530092795680 has 648 divisors, whose sum is σ = 2179586508372. Its totient is φ = 116972900352.

The previous prime is 530092795679. The next prime is 530092795681. The reversal of 530092795680 is 86597290035.

530092795680 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 9 + 2 + 79 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (530092795679) and next prime (530092795681).

It can be written as a sum of positive squares in 6 ways, for example, as 174500023824 + 355592771856 = 417732^2 + 596316^2 .

It is not an unprimeable number, because it can be changed into a prime (530092795681) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 59336494 + ... + 59345426.

Almost surely, 2^530092795680 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 530092795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089793254186).

530092795680 is an abundant number, since it is smaller than the sum of its proper divisors (1649493712692).

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

530092795680 is a wasteful number, since it uses less digits than its factorization.

530092795680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 530092795680 in words is "five hundred thirty billion, ninety-two million, seven hundred ninety-five thousand, six hundred eighty".