5458189968 has 360 divisors, whose sum is σ = 20041738080. Its totient is φ = 1417046400.

The previous prime is 5458189927. The next prime is 5458189981. The reversal of 5458189968 is 8699818545.

5458189968 is a `hidden beast` number, since 545 + 8 + 1 + 89 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2560263 + ... + 2562393.

Almost surely, 2^5458189968 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 5458189968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10020869040).

5458189968 is an abundant number, since it is smaller than the sum of its proper divisors (14583548112).

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

5458189968 is a wasteful number, since it uses less digits than its factorization.

5458189968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2154 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 63.

The square root of 5458189968 is about 73879.5639402399. The cubic root of 5458189968 is about 1760.6899378354.

The spelling of 5458189968 in words is "five billion, four hundred fifty-eight million, one hundred eighty-nine thousand, nine hundred sixty-eight".