5086337256 has 192 divisors, whose sum is σ = 18496033920. Its totient is φ = 1219484160.

The previous prime is 5086337251. The next prime is 5086337281. The reversal of 5086337256 is 6527336805.

5086337256 is a `hidden beast` number, since 5 + 0 + 8 + 633 + 7 + 2 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5086337251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36786 + ... + 107358.

It is an arithmetic number, because the mean of its divisors is an integer number (96333510).

Almost surely, 2^5086337256 is an apocalyptic number.

5086337256 is a gapful number since it is divisible by the number (56) 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 5086337256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248016960).

5086337256 is an abundant number, since it is smaller than the sum of its proper divisors (13409696664).

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

5086337256 is a wasteful number, since it uses less digits than its factorization.

5086337256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70616 (or 70609 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5086337256 is about 71318.5617914439. The cubic root of 5086337256 is about 1719.7621421579.

The spelling of 5086337256 in words is "five billion, eighty-six million, three hundred thirty-seven thousand, two hundred fifty-six".