86417426350080 has 1080 divisors, whose sum is σ = 353265354734292. Its totient is φ = 19481971654656.

The previous prime is 86417426350067. The next prime is 86417426350117. The reversal of 86417426350080 is 8005362471468.

It is a happy number.

86417426350080 is a `hidden beast` number, since 8 + 6 + 4 + 1 + 74 + 2 + 63 + 500 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86299046313984 + 118380036096 = 9289728^2 + 344064^2 .

It is a super-2 number, since 2×86417426350080² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86417426349999 and 86417426350026.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1183800360924 + ... + 1183800360996.

Almost surely, 2^{86417426350080} is an apocalyptic number.

86417426350080 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 86417426350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176632677367146).

86417426350080 is an abundant number, since it is smaller than the sum of its proper divisors (266847928384212).

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

86417426350080 is an frugal number, since it uses more digits than its factorization.

86417426350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 86417426350080 in words is "eighty-six trillion, four hundred seventeen billion, four hundred twenty-six million, three hundred fifty thousand, eighty".