5138412318720 has 2080 divisors, whose sum is σ = 20705815278720. Its totient is φ = 1212866887680.

The previous prime is 5138412318673. The next prime is 5138412318733. The reversal of 5138412318720 is 278132148315.

5138412318720 is a `hidden beast` number, since 5 + 1 + 38 + 412 + 3 + 187 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 49887498189 + ... + 49887498291.

It is an arithmetic number, because the mean of its divisors is an integer number (9954718884).

Almost surely, 2^{5138412318720} 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 5138412318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352907639360).

5138412318720 is an abundant number, since it is smaller than the sum of its proper divisors (15567402960000).

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

5138412318720 is a wasteful number, since it uses less digits than its factorization.

5138412318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 5138412318720 in words is "five trillion, one hundred thirty-eight billion, four hundred twelve million, three hundred eighteen thousand, seven hundred twenty".