5086400000 has 360 divisors, whose sum is σ = 14720667192. Its totient is φ = 1740800000.

The previous prime is 5086399999. The next prime is 5086400003. The reversal of 5086400000 is 46805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5086400003) 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 35 ways as a sum of consecutive naturals, for example, 299199992 + ... + 299200008.

Almost surely, 2^5086400000 is an apocalyptic number.

5086400000 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 5086400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360333596).

5086400000 is an abundant number, since it is smaller than the sum of its proper divisors (9634267192).

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

5086400000 is an frugal number, since it uses more digits than its factorization.

5086400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5086400000 is about 71319.0016755703. The cubic root of 5086400000 is about 1719.7692136717.

Adding to 5086400000 its reverse (46805), we get a palindrome (5086446805).

The spelling of 5086400000 in words is "five billion, eighty-six million, four hundred thousand".