509201531674880 has 648 divisors, whose sum is σ = 1387585556070336. Its totient is φ = 178895692800000.

The previous prime is 509201531674879. The next prime is 509201531674883. The reversal of 509201531674880 is 88476135102905.

It is not an unprimeable number, because it can be changed into a prime (509201531674883) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102848216405 + ... + 102848221355.

It is a 1-persistent number, because it is pandigital, but 2⋅509201531674880 = 1018403063349760 is not.

Almost surely, 2^{509201531674880} 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 509201531674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693792778035168).

509201531674880 is an abundant number, since it is smaller than the sum of its proper divisors (878384024395456).

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

509201531674880 is a wasteful number, since it uses less digits than its factorization.

509201531674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 59.

The spelling of 509201531674880 in words is "five hundred nine trillion, two hundred one billion, five hundred thirty-one million, six hundred seventy-four thousand, eight hundred eighty".