5082507538560 has 768 divisors, whose sum is σ = 19252525500000. Its totient is φ = 1229778321408.

The previous prime is 5082507538487. The next prime is 5082507538567. The reversal of 5082507538560 is 658357052805.

It is a happy number.

5082507538560 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 5 + 0 + 75 + 3 + 8 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1695641500224 + 3386866038336 = 1302168^2 + 1840344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5082507538497 and 5082507538506.

It is not an unprimeable number, because it can be changed into a prime (5082507538567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3546759604 + ... + 3546761036.

Almost surely, 2^{5082507538560} 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 5082507538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626262750000).

5082507538560 is an abundant number, since it is smaller than the sum of its proper divisors (14170017961440).

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

5082507538560 is a wasteful number, since it uses less digits than its factorization.

5082507538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 5082507538560 in words is "five trillion, eighty-two billion, five hundred seven million, five hundred thirty-eight thousand, five hundred sixty".