5058658125000 has 384 divisors, whose sum is σ = 18133353969120. Its totient is φ = 1269600000000.

The previous prime is 5058658124953. The next prime is 5058658125013. The reversal of 5058658125000 is 5218568505.

5058658125000 is a `hidden beast` number, since 5 + 0 + 5 + 8 + 65 + 81 + 2 + 500 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4171373251236 + 887284873764 = 2042394^2 + 941958^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 95598550 + ... + 95651450.

Almost surely, 2^{5058658125000} is an apocalyptic number.

5058658125000 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 5058658125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066676984560).

5058658125000 is an abundant number, since it is smaller than the sum of its proper divisors (13074695844120).

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

5058658125000 is an equidigital number, since it uses as much as digits as its factorization.

5058658125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52965 (or 52928 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 5058658125000 in words is "five trillion, fifty-eight billion, six hundred fifty-eight million, one hundred twenty-five thousand".