5158608000 has 512 divisors, whose sum is σ = 21064942080. Its totient is φ = 1087488000.

The previous prime is 5158607941. The next prime is 5158608023. The reversal of 5158608000 is 8068515.

It is a super-2 number, since 2×5158608000² = 53222472995328000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367410 + ... + 4368590.

It is an arithmetic number, because the mean of its divisors is an integer number (41142465).

Almost surely, 2^5158608000 is an apocalyptic number.

5158608000 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 5158608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532471040).

5158608000 is an abundant number, since it is smaller than the sum of its proper divisors (15906334080).

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

5158608000 is a wasteful number, since it uses less digits than its factorization.

5158608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 5158608000 is about 71823.4502095242. The cubic root of 5158608000 is about 1727.8691173160.

The spelling of 5158608000 in words is "five billion, one hundred fifty-eight million, six hundred eight thousand".