86795000825 has 48 divisors (see below), whose sum is σ = 118204153200. Its totient is φ = 62825518080.

The previous prime is 86795000819. The next prime is 86795000839. The reversal of 86795000825 is 52800059768.

It can be written as a sum of positive squares in 24 ways, for example, as 38848015801 + 47946985024 = 197099^2 + 218968^2 .

It is not a de Polignac number, because 86795000825 - 2¹⁶ = 86794935289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26679899 + ... + 26683151.

It is an arithmetic number, because the mean of its divisors is an integer number (2462586525).

Almost surely, 2^86795000825 is an apocalyptic number.

It is an amenable number.

86795000825 is a deficient number, since it is larger than the sum of its proper divisors (31409152375).

86795000825 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (86795000824) it forms an eRAP, since the sums of their prime factors are consecutive (4877 and 4878).

With its predecessor (86795000824) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4873).

86795000825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 86795000825 in words is "eighty-six billion, seven hundred ninety-five million, eight hundred twenty-five", and thus it is an aban number.