509001228880 has 160 divisors (see below), whose sum is σ = 1230421248000. Its totient is φ = 195615129600.

The previous prime is 509001228847. The next prime is 509001228881. The reversal of 509001228880 is 88822100905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509001228881) 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 31 ways as a sum of consecutive naturals, for example, 316345516 + ... + 316347124.

It is an arithmetic number, because the mean of its divisors is an integer number (7690132800).

Almost surely, 2^509001228880 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 509001228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615210624000).

509001228880 is an abundant number, since it is smaller than the sum of its proper divisors (721420019120).

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

509001228880 is a wasteful number, since it uses less digits than its factorization.

509001228880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

It can be divided in two parts, 509001 and 228880, that added together give a square (737881 = 859²).

The spelling of 509001228880 in words is "five hundred nine billion, one million, two hundred twenty-eight thousand, eight hundred eighty".