86018963005440 has 3024 divisors, whose sum is σ = 353665706559984. Its totient is φ = 19984275210240.

The previous prime is 86018963005439. The next prime is 86018963005441. The reversal of 86018963005440 is 4450036981068.

86018963005440 is a `hidden beast` number, since 8 + 6 + 0 + 1 + 8 + 96 + 3 + 0 + 0 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86018963005439) and next prime (86018963005441).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86018963005441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2774805258225 + ... + 2774805258255.

It is an arithmetic number, because the mean of its divisors is an integer number (116952945291).

Almost surely, 2^{86018963005440} is an apocalyptic number.

86018963005440 is a gapful number since it is divisible by the number (80) 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 86018963005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176832853279992).

86018963005440 is an abundant number, since it is smaller than the sum of its proper divisors (267646743554544).

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

86018963005440 is an equidigital number, since it uses as much as digits as its factorization.

86018963005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 86018963005440 in words is "eighty-six trillion, eighteen billion, nine hundred sixty-three million, five thousand, four hundred forty".