86716450898688 has 576 divisors, whose sum is σ = 261640803916800. Its totient is φ = 25297123737600.

The previous prime is 86716450898687. The next prime is 86716450898713. The reversal of 86716450898688 is 88689805461768.

It is a self number, because there is not a number n which added to its sum of digits gives 86716450898688.

It is not an unprimeable number, because it can be changed into a prime (86716450898687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46596694878 + ... + 46596696738.

It is an arithmetic number, because the mean of its divisors is an integer number (454237506800).

Almost surely, 2^{86716450898688} 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 86716450898688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130820401958400).

86716450898688 is an abundant number, since it is smaller than the sum of its proper divisors (174924353018112).

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

86716450898688 is a wasteful number, since it uses less digits than its factorization.

86716450898688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 8918138880, while the sum is 84.

The spelling of 86716450898688 in words is "eighty-six trillion, seven hundred sixteen billion, four hundred fifty million, eight hundred ninety-eight thousand, six hundred eighty-eight".