518878130400 has 648 divisors, whose sum is σ = 2155477353120. Its totient is φ = 117093150720.

The previous prime is 518878130363. The next prime is 518878130401. The reversal of 518878130400 is 4031878815.

It is a happy number.

518878130400 is a `hidden beast` number, since 518 + 87 + 8 + 13 + 0 + 40 + 0 = 666.

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 (518878130401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27861892 + ... + 27880508.

It is an arithmetic number, because the mean of its divisors is an integer number (3326353940).

Almost surely, 2^518878130400 is an apocalyptic number.

518878130400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518878130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077738676560).

518878130400 is an abundant number, since it is smaller than the sum of its proper divisors (1636599222720).

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

518878130400 is a wasteful number, since it uses less digits than its factorization.

518878130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18736 (or 18713 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 518878130400 in words is "five hundred eighteen billion, eight hundred seventy-eight million, one hundred thirty thousand, four hundred".