509890890401280 has 640 divisors, whose sum is σ = 1845690833226240. Its totient is φ = 133380636180480.

The previous prime is 509890890401251. The next prime is 509890890401297. The reversal of 509890890401280 is 82104098098905.

509890890401280 is a `hidden beast` number, since 50 + 9 + 8 + 90 + 8 + 90 + 401 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×509890890401280² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27999051375 + ... + 27999069585.

It is an arithmetic number, because the mean of its divisors is an integer number (2883891926916).

Almost surely, 2^{509890890401280} 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 509890890401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922845416613120).

509890890401280 is an abundant number, since it is smaller than the sum of its proper divisors (1335799942824960).

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

509890890401280 is a wasteful number, since it uses less digits than its factorization.

509890890401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25939 (or 25917 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 509890890401280 in words is "five hundred nine trillion, eight hundred ninety billion, eight hundred ninety million, four hundred one thousand, two hundred eighty".