530906516640 has 288 divisors, whose sum is σ = 1899941883840. Its totient is φ = 139983427584.

The previous prime is 530906516603. The next prime is 530906516641. The reversal of 530906516640 is 46615609035.

530906516640 is a `hidden beast` number, since 5 + 3 + 0 + 90 + 6 + 516 + 6 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (530906516641) 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, 3383607 + ... + 3537033.

It is an arithmetic number, because the mean of its divisors is an integer number (6597020430).

Almost surely, 2^530906516640 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 530906516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949970941920).

530906516640 is an abundant number, since it is smaller than the sum of its proper divisors (1369035367200).

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

530906516640 is a wasteful number, since it uses less digits than its factorization.

530906516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153546 (or 153526 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 530906516640 in words is "five hundred thirty billion, nine hundred six million, five hundred sixteen thousand, six hundred forty".