5116365388800 has 1584 divisors, whose sum is σ = 20098888922112. Its totient is φ = 1287556300800.

The previous prime is 5116365388787. The next prime is 5116365388819. The reversal of 5116365388800 is 88835636115.

5116365388800 is a `hidden beast` number, since 511 + 63 + 65 + 3 + 8 + 8 + 8 + 0 + 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 143 ways as a sum of consecutive naturals, for example, 8292326092 + ... + 8292326708.

Almost surely, 2^{5116365388800} is an apocalyptic number.

5116365388800 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 5116365388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10049444461056).

5116365388800 is an abundant number, since it is smaller than the sum of its proper divisors (14982523533312).

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

5116365388800 is a wasteful number, since it uses less digits than its factorization.

5116365388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 5116365388800 in words is "five trillion, one hundred sixteen billion, three hundred sixty-five million, three hundred eighty-eight thousand, eight hundred".