5124672000 has 960 divisors, whose sum is σ = 22306572288. Its totient is φ = 1105920000.

The previous prime is 5124671989. The next prime is 5124672019. The reversal of 5124672000 is 2764215.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124991980 + ... + 124992020.

Almost surely, 2^5124672000 is an apocalyptic number.

5124672000 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 5124672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11153286144).

5124672000 is an abundant number, since it is smaller than the sum of its proper divisors (17181900288).

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

5124672000 is a wasteful number, since it uses less digits than its factorization.

5124672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5124672000 is about 71586.8144283568. The cubic root of 5124672000 is about 1724.0718384228.

The spelling of 5124672000 in words is "five billion, one hundred twenty-four million, six hundred seventy-two thousand".