5032540800 has 768 divisors, whose sum is σ = 21582547200. Its totient is φ = 1121402880.

The previous prime is 5032540789. The next prime is 5032540823. The reversal of 5032540800 is 80452305.

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

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 95 ways as a sum of consecutive naturals, for example, 32054322 + ... + 32054478.

It is an arithmetic number, because the mean of its divisors is an integer number (28102275).

Almost surely, 2^5032540800 is an apocalyptic number.

5032540800 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 5032540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10791273600).

5032540800 is an abundant number, since it is smaller than the sum of its proper divisors (16550006400).

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

5032540800 is a wasteful number, since it uses less digits than its factorization.

5032540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

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

The square root of 5032540800 is about 70940.4031564524. The cubic root of 5032540800 is about 1713.6775271125.

It can be divided in two parts, 50325 and 40800, that added together give a cube (91125 = 45³).

The spelling of 5032540800 in words is "five billion, thirty-two million, five hundred forty thousand, eight hundred".