509197207680 has 384 divisors, whose sum is σ = 2083941175680. Its totient is φ = 116387684352.

The previous prime is 509197207679. The next prime is 509197207751. The reversal of 509197207680 is 86702791905.

509197207680 is a `hidden beast` number, since 509 + 1 + 9 + 72 + 0 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854772 + ... + 1322508.

It is an arithmetic number, because the mean of its divisors is an integer number (5426930145).

Almost surely, 2^509197207680 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 509197207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041970587840).

509197207680 is an abundant number, since it is smaller than the sum of its proper divisors (1574743968000).

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

509197207680 is an equidigital number, since it uses as much as digits as its factorization.

509197207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467778 (or 467754 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 509197207680 in words is "five hundred nine billion, one hundred ninety-seven million, two hundred seven thousand, six hundred eighty".