86594991744320 has 224 divisors, whose sum is σ = 217615082371200. Its totient is φ = 32772964818944.

The previous prime is 86594991744203. The next prime is 86594991744343. The reversal of 86594991744320 is 2344719949568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173314379 + ... + 173813301.

It is a 1-persistent number, because it is pandigital, but 2⋅86594991744320 = 173189983488640 is not.

Almost surely, 2^{86594991744320} is an apocalyptic number.

86594991744320 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 86594991744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108807541185600).

86594991744320 is an abundant number, since it is smaller than the sum of its proper divisors (131020090626880).

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

86594991744320 is a wasteful number, since it uses less digits than its factorization.

86594991744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499345 (or 499335 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 71.

The spelling of 86594991744320 in words is "eighty-six trillion, five hundred ninety-four billion, nine hundred ninety-one million, seven hundred forty-four thousand, three hundred twenty".