5108400000 has 768 divisors, whose sum is σ = 21036153600. Its totient is φ = 1209600000.

The previous prime is 5108399977. The next prime is 5108400001. The reversal of 5108400000 is 48015.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5108400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118799979 + ... + 118800021.

It is an arithmetic number, because the mean of its divisors is an integer number (27390825).

Almost surely, 2^5108400000 is an apocalyptic number.

5108400000 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 5108400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518076800).

5108400000 is an abundant number, since it is smaller than the sum of its proper divisors (15927753600).

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

5108400000 is an equidigital number, since it uses as much as digits as its factorization.

5108400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5108400000 is about 71473.0718522717. The cubic root of 5108400000 is about 1722.2451301535.

Adding to 5108400000 its reverse (48015), we get a palindrome (5108448015).

The spelling of 5108400000 in words is "five billion, one hundred eight million, four hundred thousand".