5086167552 has 200 divisors, whose sum is σ = 15708062700. Its totient is φ = 1636540416.

The previous prime is 5086167533. The next prime is 5086167553. The reversal of 5086167552 is 2557616805.

5086167552 is a `hidden beast` number, since 5 + 0 + 86 + 16 + 7 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4406835456 + 679332096 = 66384^2 + 26064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5086167498 and 5086167507.

It is not an unprimeable number, because it can be changed into a prime (5086167553) 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 19 ways as a sum of consecutive naturals, for example, 1200574 + ... + 1204802.

Almost surely, 2^5086167552 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 5086167552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7854031350).

5086167552 is an abundant number, since it is smaller than the sum of its proper divisors (10621895148).

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

5086167552 is an equidigital number, since it uses as much as digits as its factorization.

5086167552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5086167552 is about 71317.3720211282. The cubic root of 5086167552 is about 1719.7430155090.

The spelling of 5086167552 in words is "five billion, eighty-six million, one hundred sixty-seven thousand, five hundred fifty-two".