86317075353600 has 7020 divisors, whose sum is σ = 438236589430332. Its totient is φ = 16587738316800.

The previous prime is 86317075353599. The next prime is 86317075353713. The reversal of 86317075353600 is 635357071368.

86317075353600 is a `hidden beast` number, since 8 + 6 + 3 + 1 + 70 + 7 + 535 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3062108012544 + 83254967341056 = 1749888^2 + 9124416^2 .

It is a tau number, because it is divible by the number of its divisors (7020).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 2784421785585 + ... + 2784421785615.

Almost surely, 2^{86317075353600} is an apocalyptic number.

86317075353600 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 86317075353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219118294715166).

86317075353600 is an abundant number, since it is smaller than the sum of its proper divisors (351919514076732).

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

86317075353600 is a wasteful number, since it uses less digits than its factorization.

86317075353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 86317075353600 in words is "eighty-six trillion, three hundred seventeen billion, seventy-five million, three hundred fifty-three thousand, six hundred".