5118656474400 has 288 divisors, whose sum is σ = 19043642878848. Its totient is φ = 1169840947200.

The previous prime is 5118656474377. The next prime is 5118656474443. The reversal of 5118656474400 is 44746568115.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232517794 + ... + 232539806.

It is an arithmetic number, because the mean of its divisors is an integer number (66123759996).

Almost surely, 2^{5118656474400} is an apocalyptic number.

5118656474400 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 5118656474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521821439424).

5118656474400 is an abundant number, since it is smaller than the sum of its proper divisors (13924986404448).

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

5118656474400 is a wasteful number, since it uses less digits than its factorization.

5118656474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35884 (or 35871 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 5118656474400 in words is "five trillion, one hundred eighteen billion, six hundred fifty-six million, four hundred seventy-four thousand, four hundred".