86567131828480 has 36 divisors (see below), whose sum is σ = 207355332960972. Its totient is φ = 34626852730880.

The previous prime is 86567131828459. The next prime is 86567131828481. The reversal of 86567131828480 is 8482813176568.

It can be written as a sum of positive squares in 2 ways, for example, as 41086459056384 + 45480672772096 = 6409872^2 + 6743936^2 .

It is a super-2 number, since 2×86567131828480² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86567131828481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33815284591 + ... + 33815287150.

It is an arithmetic number, because the mean of its divisors is an integer number (5759870360027).

Almost surely, 2^{86567131828480} is an apocalyptic number.

86567131828480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86567131828480 is an abundant number, since it is smaller than the sum of its proper divisors (120788201132492).

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

86567131828480 is an equidigital number, since it uses as much as digits as its factorization.

86567131828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67630571762 (or 67630571748 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 67.

The spelling of 86567131828480 in words is "eighty-six trillion, five hundred sixty-seven billion, one hundred thirty-one million, eight hundred twenty-eight thousand, four hundred eighty".