86541621064680 has 512 divisors, whose sum is σ = 286475842437120. Its totient is φ = 20825198592000.

The previous prime is 86541621064673. The next prime is 86541621064729. The reversal of 86541621064680 is 8646012614568.

It is a self number, because there is not a number n which added to its sum of digits gives 86541621064680.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2415254365 + ... + 2415290195.

It is an arithmetic number, because the mean of its divisors is an integer number (559523129760).

Almost surely, 2^{86541621064680} 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 86541621064680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143237921218560).

86541621064680 is an abundant number, since it is smaller than the sum of its proper divisors (199934221372440).

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

86541621064680 is a wasteful number, since it uses less digits than its factorization.

86541621064680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36401 (or 36397 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 86541621064680 in words is "eighty-six trillion, five hundred forty-one billion, six hundred twenty-one million, sixty-four thousand, six hundred eighty".