518278554120960 has 1440 divisors, whose sum is σ = 1960874579220480. Its totient is φ = 130503027916800.

The previous prime is 518278554120959. The next prime is 518278554121007. The reversal of 518278554120960 is 69021455872815.

518278554120960 is a `hidden beast` number, since 5 + 1 + 8 + 2 + 7 + 8 + 5 + 541 + 20 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×518278554120960² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 237851561151 + ... + 237851563329.

It is an arithmetic number, because the mean of its divisors is an integer number (1361718457792).

Almost surely, 2^{518278554120960} 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 518278554120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980437289610240).

518278554120960 is an abundant number, since it is smaller than the sum of its proper divisors (1442596025099520).

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

518278554120960 is a wasteful number, since it uses less digits than its factorization.

518278554120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 518278554120960 in words is "five hundred eighteen trillion, two hundred seventy-eight billion, five hundred fifty-four million, one hundred twenty thousand, nine hundred sixty".