5126080000 has 200 divisors, whose sum is σ = 13019901048. Its totient is φ = 2015232000.

The previous prime is 5126079953. The next prime is 5126080021. The reversal of 5126080000 is 806215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 26559904 + ... + 26560096.

Almost surely, 2^5126080000 is an apocalyptic number.

5126080000 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 5126080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509950524).

5126080000 is an abundant number, since it is smaller than the sum of its proper divisors (7893821048).

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

5126080000 is an frugal number, since it uses more digits than its factorization.

5126080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 5126080000 is about 71596.6479662281. The cubic root of 5126080000 is about 1724.2297198030.

Adding to 5126080000 its reverse (806215), we get a palindrome (5126886215).

The spelling of 5126080000 in words is "five billion, one hundred twenty-six million, eighty thousand".