5158166630760 has 1152 divisors, whose sum is σ = 20638422604800. Its totient is φ = 1106307072000.

The previous prime is 5158166630741. The next prime is 5158166630803. The reversal of 5158166630760 is 670366618515.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5158166630697 and 5158166630706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2261360820 + ... + 2261363100.

It is an arithmetic number, because the mean of its divisors is an integer number (17915297400).

Almost surely, 2^{5158166630760} 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 5158166630760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319211302400).

5158166630760 is an abundant number, since it is smaller than the sum of its proper divisors (15480255974040).

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

5158166630760 is a wasteful number, since it uses less digits than its factorization.

5158166630760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5158166630760 in words is "five trillion, one hundred fifty-eight billion, one hundred sixty-six million, six hundred thirty thousand, seven hundred sixty".