5059511009280 has 3360 divisors, whose sum is σ = 24067230432000. Its totient is φ = 1011316948992.

The previous prime is 5059511009279. The next prime is 5059511009303. The reversal of 5059511009280 is 829001159505.

5059511009280 is a `hidden beast` number, since 5 + 0 + 59 + 511 + 0 + 0 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×5059511009280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 266290053111 + ... + 266290053129.

It is an arithmetic number, because the mean of its divisors is an integer number (7162866200).

Almost surely, 2^{5059511009280} 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 5059511009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033615216000).

5059511009280 is an abundant number, since it is smaller than the sum of its proper divisors (19007719422720).

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

5059511009280 is an frugal number, since it uses more digits than its factorization.

5059511009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 5059511009280 in words is "five trillion, fifty-nine billion, five hundred eleven million, nine thousand, two hundred eighty".