86682631347360 has 480 divisors, whose sum is σ = 310159828218240. Its totient is φ = 22890861646848.

The previous prime is 86682631347349. The next prime is 86682631347397. The reversal of 86682631347360 is 6374313628668.

86682631347360 is a `hidden beast` number, since 8 + 6 + 6 + 8 + 263 + 1 + 3 + 4 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324242226 + ... + 324509454.

It is an arithmetic number, because the mean of its divisors is an integer number (646166308788).

Almost surely, 2^{86682631347360} is an apocalyptic number.

86682631347360 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 86682631347360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155079914109120).

86682631347360 is an abundant number, since it is smaller than the sum of its proper divisors (223477196870880).

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

86682631347360 is an equidigital number, since it uses as much as digits as its factorization.

86682631347360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267374 (or 267342 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 86682631347360 in words is "eighty-six trillion, six hundred eighty-two billion, six hundred thirty-one million, three hundred forty-seven thousand, three hundred sixty".