5188116991104 has 256 divisors, whose sum is σ = 15513583104000. Its totient is φ = 1706643993600.

The previous prime is 5188116991073. The next prime is 5188116991111. The reversal of 5188116991104 is 4011996118815.

5188116991104 is a `hidden beast` number, since 518 + 8 + 1 + 1 + 6 + 9 + 9 + 110 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822072109 + ... + 822078419.

It is an arithmetic number, because the mean of its divisors is an integer number (60599934000).

Almost surely, 2^{5188116991104} is an apocalyptic number.

5188116991104 is a gapful number since it is divisible by the number (54) 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 5188116991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756791552000).

5188116991104 is an abundant number, since it is smaller than the sum of its proper divisors (10325466112896).

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

5188116991104 is a wasteful number, since it uses less digits than its factorization.

5188116991104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9424 (or 9406 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 54.

The spelling of 5188116991104 in words is "five trillion, one hundred eighty-eight billion, one hundred sixteen million, nine hundred ninety-one thousand, one hundred four".