86795000824 has 128 divisors (see below), whose sum is σ = 197362344960. Its totient is φ = 34983134208.

The previous prime is 86795000819. The next prime is 86795000839. The reversal of 86795000824 is 42800059768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18878494 + ... + 18883090.

It is an arithmetic number, because the mean of its divisors is an integer number (1541893320).

Almost surely, 2^86795000824 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 86795000824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98681172480).

86795000824 is an abundant number, since it is smaller than the sum of its proper divisors (110567344136).

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

86795000824 is a wasteful number, since it uses less digits than its factorization.

With its successor (86795000825) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4873).

With its successor (86795000825) it forms an eRAP, since the sums of their prime factors are consecutive (4877 and 4878).

86795000824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 86795000824 in words is "eighty-six billion, seven hundred ninety-five million, eight hundred twenty-four", and thus it is an aban number.