5104352000 has 288 divisors, whose sum is σ = 14704732224. Its totient is φ = 1744896000.

The previous prime is 5104351969. The next prime is 5104352003. The reversal of 5104352000 is 2534015.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104352003) 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 31 ways as a sum of consecutive naturals, for example, 5983574 + ... + 5984426.

It is an arithmetic number, because the mean of its divisors is an integer number (51058098).

Almost surely, 2^5104352000 is an apocalyptic number.

5104352000 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 5104352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352366112).

5104352000 is an abundant number, since it is smaller than the sum of its proper divisors (9600380224).

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

5104352000 is a wasteful number, since it uses less digits than its factorization.

5104352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5104352000 is about 71444.7478825421. The cubic root of 5104352000 is about 1721.7900959230.

Adding to 5104352000 its reverse (2534015), we get a palindrome (5106886015).

The spelling of 5104352000 in words is "five billion, one hundred four million, three hundred fifty-two thousand".