509590878720 has 1280 divisors, whose sum is σ = 2107716526080. Its totient is φ = 101980569600.

The previous prime is 509590878701. The next prime is 509590878721. The reversal of 509590878720 is 27878095905.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (509590878721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2225287566 + ... + 2225287794.

It is an arithmetic number, because the mean of its divisors is an integer number (1646653536).

Almost surely, 2^509590878720 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 509590878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053858263040).

509590878720 is an abundant number, since it is smaller than the sum of its proper divisors (1598125647360).

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

509590878720 is a wasteful number, since it uses less digits than its factorization.

509590878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 60.

The spelling of 509590878720 in words is "five hundred nine billion, five hundred ninety million, eight hundred seventy-eight thousand, seven hundred twenty".