5100400000 has 192 divisors, whose sum is σ = 13051977120. Its totient is φ = 1984000000.

The previous prime is 5100399947. The next prime is 5100400001. The reversal of 5100400000 is 40015.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 5100400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5100400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16399845 + ... + 16400155.

Almost surely, 2^5100400000 is an apocalyptic number.

5100400000 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 5100400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525988560).

5100400000 is an abundant number, since it is smaller than the sum of its proper divisors (7951577120).

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

5100400000 is an frugal number, since it uses more digits than its factorization.

5100400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 5100400000 is about 71417.0847906858. The cubic root of 5100400000 is about 1721.3456208733.

Adding to 5100400000 its reverse (40015), we get a palindrome (5100440015).

The spelling of 5100400000 in words is "five billion, one hundred million, four hundred thousand".