86382250186320 has 240 divisors, whose sum is σ = 316631210680512. Its totient is φ = 20930692823040.

The previous prime is 86382250186307. The next prime is 86382250186321. The reversal of 86382250186320 is 2368105228368.

It is a happy number.

86382250186320 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 22 + 501 + 86 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86382250186321) 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, 13141132 + ... + 18586388.

Almost surely, 2^{86382250186320} is an apocalyptic number.

86382250186320 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 86382250186320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158315605340256).

86382250186320 is an abundant number, since it is smaller than the sum of its proper divisors (230248960494192).

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

86382250186320 is a wasteful number, since it uses less digits than its factorization.

86382250186320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447290 (or 5447281 counting only the distinct ones).

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

The spelling of 86382250186320 in words is "eighty-six trillion, three hundred eighty-two billion, two hundred fifty million, one hundred eighty-six thousand, three hundred twenty".