5518129138560 has 1024 divisors, whose sum is σ = 21521280614400. Its totient is φ = 1330182881280.

The previous prime is 5518129138523. The next prime is 5518129138607. The reversal of 5518129138560 is 658319218155.

5518129138560 is a `hidden beast` number, since 5 + 5 + 181 + 29 + 1 + 385 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5518129138497 and 5518129138506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1247596509 + ... + 1247600931.

It is an arithmetic number, because the mean of its divisors is an integer number (21016875600).

Almost surely, 2^{5518129138560} 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 5518129138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10760640307200).

5518129138560 is an abundant number, since it is smaller than the sum of its proper divisors (16003151475840).

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

5518129138560 is a wasteful number, since it uses less digits than its factorization.

5518129138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 5518129138560 in words is "five trillion, five hundred eighteen billion, one hundred twenty-nine million, one hundred thirty-eight thousand, five hundred sixty".