518088130560 has 2304 divisors, whose sum is σ = 2514480433920. Its totient is φ = 99373547520.

The previous prime is 518088130543. The next prime is 518088130561. The reversal of 518088130560 is 65031880815.

518088130560 is a `hidden beast` number, since 5 + 1 + 8 + 0 + 8 + 81 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×518088130560² (a number of 24 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 not an unprimeable number, because it can be changed into a prime (518088130561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39852933114 + ... + 39852933126.

It is an arithmetic number, because the mean of its divisors is an integer number (1091354355).

Almost surely, 2^518088130560 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 518088130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257240216960).

518088130560 is an abundant number, since it is smaller than the sum of its proper divisors (1996392303360).

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

518088130560 is an equidigital number, since it uses as much as digits as its factorization.

518088130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 518088130560 in words is "five hundred eighteen billion, eighty-eight million, one hundred thirty thousand, five hundred sixty".