5158936393728 has 768 divisors, whose sum is σ = 16112133273600. Its totient is φ = 1455142993920.

The previous prime is 5158936393711. The next prime is 5158936393759. The reversal of 5158936393728 is 8273936398515.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×5158936393728² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4825945578 + ... + 4825946646.

It is an arithmetic number, because the mean of its divisors is an integer number (20979340200).

Almost surely, 2^{5158936393728} 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 5158936393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056066636800).

5158936393728 is an abundant number, since it is smaller than the sum of its proper divisors (10953196879872).

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

5158936393728 is a wasteful number, since it uses less digits than its factorization.

5158936393728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1218 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 69.

The spelling of 5158936393728 in words is "five trillion, one hundred fifty-eight billion, nine hundred thirty-six million, three hundred ninety-three thousand, seven hundred twenty-eight".