518073751872 has 224 divisors, whose sum is σ = 1573879910400. Its totient is φ = 166938969600.

The previous prime is 518073751861. The next prime is 518073751873. The reversal of 518073751872 is 278157370815.

518073751872 is a `hidden beast` number, since 51 + 8 + 0 + 7 + 3 + 7 + 518 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518073751873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54581047 + ... + 54590537.

It is an arithmetic number, because the mean of its divisors is an integer number (7026249600).

Almost surely, 2^518073751872 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 518073751872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786939955200).

518073751872 is an abundant number, since it is smaller than the sum of its proper divisors (1055806158528).

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

518073751872 is a wasteful number, since it uses less digits than its factorization.

518073751872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10562 (or 10546 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 518073751872 in words is "five hundred eighteen billion, seventy-three million, seven hundred fifty-one thousand, eight hundred seventy-two".