5158604012688 has 540 divisors, whose sum is σ = 18767158607340. Its totient is φ = 1314166726656.

The previous prime is 5158604012663. The next prime is 5158604012693. The reversal of 5158604012688 is 8862104068515.

5158604012688 is a `hidden beast` number, since 5 + 1 + 5 + 8 + 604 + 0 + 1 + 26 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1683630812304 + 3474973200384 = 1297548^2 + 1864128^2 .

It is a super-2 number, since 2×5158604012688² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 43243108 + ... + 43362236.

It is an arithmetic number, because the mean of its divisors is an integer number (34753997421).

Almost surely, 2^{5158604012688} 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 5158604012688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383579303670).

5158604012688 is an abundant number, since it is smaller than the sum of its proper divisors (13608554594652).

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

5158604012688 is a wasteful number, since it uses less digits than its factorization.

5158604012688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119212 (or 119177 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 5158604012688 in words is "five trillion, one hundred fifty-eight billion, six hundred four million, twelve thousand, six hundred eighty-eight".