5005045432300 has 144 divisors (see below), whose sum is σ = 11019679070400. Its totient is φ = 1972974412800.

The previous prime is 5005045432273. The next prime is 5005045432307. The reversal of 5005045432300 is 32345405005.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5005045432307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167623546 + ... + 2167625854.

It is an arithmetic number, because the mean of its divisors is an integer number (76525549100).

Almost surely, 2^{5005045432300} is an apocalyptic number.

5005045432300 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 5005045432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509839535200).

5005045432300 is an abundant number, since it is smaller than the sum of its proper divisors (6014633638100).

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

5005045432300 is a wasteful number, since it uses less digits than its factorization.

5005045432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

It can be divided in two parts, 5005045 and 432300, that added together give a palindrome (5437345).

The spelling of 5005045432300 in words is "five trillion, five billion, forty-five million, four hundred thirty-two thousand, three hundred".