509897870060544 has 1584 divisors, whose sum is σ = 1838440900488192. Its totient is φ = 133196268699648.

The previous prime is 509897870060489. The next prime is 509897870060563. The reversal of 509897870060544 is 445060078798905.

509897870060544 is a `hidden beast` number, since 5 + 0 + 9 + 8 + 9 + 7 + 8 + 7 + 0 + 0 + 605 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68970356112 + ... + 68970363504.

Almost surely, 2^{509897870060544} 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 509897870060544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919220450244096).

509897870060544 is an abundant number, since it is smaller than the sum of its proper divisors (1328543030427648).

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

509897870060544 is a wasteful number, since it uses less digits than its factorization.

509897870060544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 509897870060544 in words is "five hundred nine trillion, eight hundred ninety-seven billion, eight hundred seventy million, sixty thousand, five hundred forty-four".