5086126080 has 672 divisors, whose sum is σ = 21182039424. Its totient is φ = 1146617856.

The previous prime is 5086126061. The next prime is 5086126081. The reversal of 5086126080 is 806216805.

It is a happy number.

5086126080 is a `hidden beast` number, since 508 + 6 + 12 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5086126081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69672924 + ... + 69672996.

It is an arithmetic number, because the mean of its divisors is an integer number (31520892).

Almost surely, 2^5086126080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10591019712).

5086126080 is an abundant number, since it is smaller than the sum of its proper divisors (16095913344).

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

5086126080 is an frugal number, since it uses more digits than its factorization.

5086126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5086126080 is about 71317.0812638880. The cubic root of 5086126080 is about 1719.7383413035.

The spelling of 5086126080 in words is "five billion, eighty-six million, one hundred twenty-six thousand, eighty".