5118624000 has 432 divisors, whose sum is σ = 21057778560. Its totient is φ = 1169510400.

The previous prime is 5118623989. The next prime is 5118624019. The reversal of 5118624000 is 4268115.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014731 + ... + 2017269.

Almost surely, 2^5118624000 is an apocalyptic number.

5118624000 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 5118624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528889280).

5118624000 is an abundant number, since it is smaller than the sum of its proper divisors (15939154560).

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

5118624000 is a wasteful number, since it uses less digits than its factorization.

5118624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5118624000 is about 71544.5595415892. The cubic root of 5118624000 is about 1723.3933370389.

The spelling of 5118624000 in words is "five billion, one hundred eighteen million, six hundred twenty-four thousand".