5158939968900 has 135 divisors (see below), whose sum is σ = 16723907953599. Its totient is φ = 1375662813120.

The previous prime is 5158939968893. The next prime is 5158939968953. The reversal of 5158939968900 is 98699398515.

The square root of 5158939968900 is 2271330.

It is a perfect power (a square), and thus also a powerful number.

5158939968900 is a `hidden beast` number, since 5 + 1 + 589 + 39 + 9 + 6 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111332999556 + 5047606969344 = 333666^2 + 2246688^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×5158939968900² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 204407082 + ... + 204432318.

Almost surely, 2^{5158939968900} is an apocalyptic number.

5158939968900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5158939968900 is the 2271330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5158939968900

5158939968900 is an abundant number, since it is smaller than the sum of its proper divisors (11564967984699).

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

5158939968900 is an frugal number, since it uses more digits than its factorization.

5158939968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50500 (or 25247 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 72.

The spelling of 5158939968900 in words is "five trillion, one hundred fifty-eight billion, nine hundred thirty-nine million, nine hundred sixty-eight thousand, nine hundred".