86918633737728 has 320 divisors, whose sum is σ = 255984021807360. Its totient is φ = 26038698835968.

The previous prime is 86918633737723. The next prime is 86918633737781. The reversal of 86918633737728 is 82773733681968.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86918633737721) by changing a digit.

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, 268587603 + ... + 268911021.

It is an arithmetic number, because the mean of its divisors is an integer number (799950068148).

Almost surely, 2^{86918633737728} 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 86918633737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127992010903680).

86918633737728 is an abundant number, since it is smaller than the sum of its proper divisors (169065388069632).

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

86918633737728 is a wasteful number, since it uses less digits than its factorization.

86918633737728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323809 (or 323793 counting only the distinct ones).

The product of its digits is 3072577536, while the sum is 78.

The spelling of 86918633737728 in words is "eighty-six trillion, nine hundred eighteen billion, six hundred thirty-three million, seven hundred thirty-seven thousand, seven hundred twenty-eight".