5107032800 has 144 divisors (see below), whose sum is σ = 13175875440. Its totient is φ = 1927618560.

The previous prime is 5107032767. The next prime is 5107032803. The reversal of 5107032800 is 82307015.

It is a self number, because there is not a number n which added to its sum of digits gives 5107032800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5107032803) 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, 5121902 + ... + 5122898.

It is an arithmetic number, because the mean of its divisors is an integer number (91499135).

Almost surely, 2^5107032800 is an apocalyptic number.

5107032800 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 5107032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587937720).

5107032800 is an abundant number, since it is smaller than the sum of its proper divisors (8068842640).

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

5107032800 is a wasteful number, since it uses less digits than its factorization.

5107032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 5107032800 is about 71463.5067709387. The cubic root of 5107032800 is about 1722.0914705838.

Adding to 5107032800 its reverse (82307015), we get a palindrome (5189339815).

The spelling of 5107032800 in words is "five billion, one hundred seven million, thirty-two thousand, eight hundred".