5148124800 has 768 divisors, whose sum is σ = 21418629120. Its totient is φ = 1057996800.

The previous prime is 5148124783. The next prime is 5148124801. The reversal of 5148124800 is 84218415.

It is not an unprimeable number, because it can be changed into a prime (5148124801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62025559 + ... + 62025641.

It is an arithmetic number, because the mean of its divisors is an integer number (27888840).

Almost surely, 2^5148124800 is an apocalyptic number.

5148124800 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 5148124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709314560).

5148124800 is an abundant number, since it is smaller than the sum of its proper divisors (16270504320).

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

5148124800 is a wasteful number, since it uses less digits than its factorization.

5148124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 5148124800 is about 71750.4341450280. The cubic root of 5148124800 is about 1726.6978787823.

The spelling of 5148124800 in words is "five billion, one hundred forty-eight million, one hundred twenty-four thousand, eight hundred".