5116755934080 has 1024 divisors, whose sum is σ = 20904055603200. Its totient is φ = 1158687203328.

The previous prime is 5116755934067. The next prime is 5116755934099. The reversal of 5116755934080 is 804395576115.

5116755934080 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 7 + 5 + 593 + 40 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8429581137 + ... + 8429581743.

It is an arithmetic number, because the mean of its divisors is an integer number (20414116800).

Almost surely, 2^{5116755934080} 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 5116755934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10452027801600).

5116755934080 is an abundant number, since it is smaller than the sum of its proper divisors (15787299669120).

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

5116755934080 is a wasteful number, since it uses less digits than its factorization.

5116755934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 5116755934080 in words is "five trillion, one hundred sixteen billion, seven hundred fifty-five million, nine hundred thirty-four thousand, eighty".