509029487746416 has 1440 divisors, whose sum is σ = 2010986455296000. Its totient is φ = 123080715233280.

The previous prime is 509029487746393. The next prime is 509029487746433. The reversal of 509029487746416 is 614647784920905.

509029487746416 is a `hidden beast` number, since 5 + 0 + 9 + 0 + 2 + 9 + 487 + 74 + 64 + 16 = 666.

It is a super-2 number, since 2×509029487746416² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1458575910 + ... + 1458924858.

Almost surely, 2^{509029487746416} is an apocalyptic number.

509029487746416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509029487746416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005493227648000).

509029487746416 is an abundant number, since it is smaller than the sum of its proper divisors (1501956967549584).

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

509029487746416 is a wasteful number, since it uses less digits than its factorization.

509029487746416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349049 (or 349024 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 509029487746416 in words is "five hundred nine trillion, twenty-nine billion, four hundred eighty-seven million, seven hundred forty-six thousand, four hundred sixteen".