5008590132480 has 540 divisors, whose sum is σ = 19699054617396. Its totient is φ = 1214200627200.

The previous prime is 5008590132467. The next prime is 5008590132571. The reversal of 5008590132480 is 842310958005.

5008590132480 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 590 + 13 + 2 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3601007207424 + 1407582925056 = 1897632^2 + 1186416^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12345660 + ... + 12744900.

Almost surely, 2^{5008590132480} 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 5008590132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849527308698).

5008590132480 is an abundant number, since it is smaller than the sum of its proper divisors (14690464484916).

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

5008590132480 is a wasteful number, since it uses less digits than its factorization.

5008590132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399296 (or 399262 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 5008590132480 in words is "five trillion, eight billion, five hundred ninety million, one hundred thirty-two thousand, four hundred eighty".