5832040500 has 960 divisors, whose sum is σ = 23974030080. Its totient is φ = 1213056000.

The previous prime is 5832040499. The next prime is 5832040549. The reversal of 5832040500 is 50402385.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 110038474 + ... + 110038526.

It is an arithmetic number, because the mean of its divisors is an integer number (24972948).

Almost surely, 2^5832040500 is an apocalyptic number.

5832040500 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 5832040500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11987015040).

5832040500 is an abundant number, since it is smaller than the sum of its proper divisors (18141989580).

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

5832040500 is a wasteful number, since it uses less digits than its factorization.

5832040500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5832040500 is about 76367.7975327297. The cubic root of 5832040500 is about 1800.0041666570.

Adding to 5832040500 its reverse (50402385), we get a palindrome (5882442885).

It can be divided in two parts, 58320 and 40500, that multiplied together give a square (2361960000 = 48600²).

The spelling of 5832040500 in words is "five billion, eight hundred thirty-two million, forty thousand, five hundred".