518101687872 has 168 divisors, whose sum is σ = 1571311116960. Its totient is φ = 162762670080.

The previous prime is 518101687811. The next prime is 518101687897. The reversal of 518101687872 is 278786101815.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1989547 + ... + 2234837.

Almost surely, 2^518101687872 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 518101687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785655558480).

518101687872 is an abundant number, since it is smaller than the sum of its proper divisors (1053209429088).

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

518101687872 is a wasteful number, since it uses less digits than its factorization.

518101687872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245521 (or 245508 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 518101687872 in words is "five hundred eighteen billion, one hundred one million, six hundred eighty-seven thousand, eight hundred seventy-two".