86837867556 has 192 divisors, whose sum is σ = 230769960960. Its totient is φ = 25186775040.

The previous prime is 86837867551. The next prime is 86837867561. The reversal of 86837867556 is 65576873868.

It is an interprime number because it is at equal distance from previous prime (86837867551) and next prime (86837867561).

It is not an unprimeable number, because it can be changed into a prime (86837867551) 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 63 ways as a sum of consecutive naturals, for example, 60011625 + ... + 60013071.

It is an arithmetic number, because the mean of its divisors is an integer number (1201926880).

Almost surely, 2^86837867556 is an apocalyptic number.

86837867556 is a gapful number since it is divisible by the number (86) 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 86837867556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115384980480).

86837867556 is an abundant number, since it is smaller than the sum of its proper divisors (143932093404).

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

86837867556 is a wasteful number, since it uses less digits than its factorization.

86837867556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1712 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 69.

The spelling of 86837867556 in words is "eighty-six billion, eight hundred thirty-seven million, eight hundred sixty-seven thousand, five hundred fifty-six".