510320968830 has 192 divisors, whose sum is σ = 1403117614080. Its totient is φ = 128427053568.

The previous prime is 510320968793. The next prime is 510320968837. The reversal of 510320968830 is 38869023015.

It is a happy number.

510320968830 is a `hidden beast` number, since 510 + 3 + 20 + 9 + 6 + 88 + 30 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510320968837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92664937 + ... + 92670443.

It is an arithmetic number, because the mean of its divisors is an integer number (7307904240).

Almost surely, 2^510320968830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510320968830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701558807040).

510320968830 is an abundant number, since it is smaller than the sum of its proper divisors (892796645250).

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

510320968830 is a wasteful number, since it uses less digits than its factorization.

510320968830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 510320968830 in words is "five hundred ten billion, three hundred twenty million, nine hundred sixty-eight thousand, eight hundred thirty".