518400000000 has 675 divisors, whose sum is σ = 1935939926767. Its totient is φ = 138240000000.

The previous prime is 518399999983. The next prime is 518400000031. The reversal of 518400000000 is 4815.

The square root of 518400000000 is 720000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 368575266816 + 149824733184 = 607104^2 + 387072^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=600.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 103679999998 + ... + 103680000002.

Almost surely, 2^518400000000 is an apocalyptic number.

518400000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

518400000000 is the 720000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518400000000

518400000000 is an abundant number, since it is smaller than the sum of its proper divisors (1417539926767).

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

518400000000 is an frugal number, since it uses more digits than its factorization.

518400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 518400000000 its reverse (4815), we get a palindrome (518400004815).

The spelling of 518400000000 in words is "five hundred eighteen billion, four hundred million", and thus it is an aban number.