509276920680 has 192 divisors, whose sum is σ = 1812140553600. Its totient is φ = 123015098880.

The previous prime is 509276920679. The next prime is 509276920709. The reversal of 509276920680 is 86029672905.

509276920680 is a `hidden beast` number, since 509 + 2 + 76 + 9 + 2 + 0 + 68 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864781 + ... + 1329059.

It is an arithmetic number, because the mean of its divisors is an integer number (9438232050).

Almost surely, 2^509276920680 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 509276920680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906070276800).

509276920680 is an abundant number, since it is smaller than the sum of its proper divisors (1302863632920).

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

509276920680 is a wasteful number, since it uses less digits than its factorization.

509276920680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464584 (or 464577 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 509276920680 in words is "five hundred nine billion, two hundred seventy-six million, nine hundred twenty thousand, six hundred eighty".