5144932800 has 504 divisors, whose sum is σ = 21402665856. Its totient is φ = 1147668480.

The previous prime is 5144932787. The next prime is 5144932817. The reversal of 5144932800 is 82394415.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4333807 + ... + 4334993.

Almost surely, 2^5144932800 is an apocalyptic number.

5144932800 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 5144932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701332928).

5144932800 is an abundant number, since it is smaller than the sum of its proper divisors (16257733056).

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

5144932800 is a wasteful number, since it uses less digits than its factorization.

5144932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5144932800 is about 71728.1869281526. The cubic root of 5144932800 is about 1726.3409359237.

The spelling of 5144932800 in words is "five billion, one hundred forty-four million, nine hundred thirty-two thousand, eight hundred".