5040883200 has 240 divisors, whose sum is σ = 16750552896. Its totient is φ = 1336320000.

The previous prime is 5040883187. The next prime is 5040883201. The reversal of 5040883200 is 23880405.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040883201) 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 23 ways as a sum of consecutive naturals, for example, 9638139 + ... + 9638661.

Almost surely, 2^5040883200 is an apocalyptic number.

5040883200 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 5040883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8375276448).

5040883200 is an abundant number, since it is smaller than the sum of its proper divisors (11709669696).

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

5040883200 is a wasteful number, since it uses less digits than its factorization.

5040883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5040883200 is about 70999.1774600241. The cubic root of 5040883200 is about 1714.6239205735.

The spelling of 5040883200 in words is "five billion, forty million, eight hundred eighty-three thousand, two hundred".