86328056062080 has 384 divisors, whose sum is σ = 340706263547520. Its totient is φ = 19731040763904.

The previous prime is 86328056062051. The next prime is 86328056062081. The reversal of 86328056062080 is 8026065082368.

86328056062080 is a `hidden beast` number, since 8 + 6 + 3 + 2 + 8 + 0 + 5 + 6 + 0 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×86328056062080³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (86328056062081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904450839 + ... + 904546281.

It is an arithmetic number, because the mean of its divisors is an integer number (887255894655).

Almost surely, 2^{86328056062080} is an apocalyptic number.

86328056062080 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 86328056062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170353131773760).

86328056062080 is an abundant number, since it is smaller than the sum of its proper divisors (254378207485440).

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

86328056062080 is a wasteful number, since it uses less digits than its factorization.

86328056062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117908 (or 117893 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 86328056062080 in words is "eighty-six trillion, three hundred twenty-eight billion, fifty-six million, sixty-two thousand, eighty".