86656339733760 has 216 divisors, whose sum is σ = 300031778166120. Its totient is φ = 23092181876736.

The previous prime is 86656339733713. The next prime is 86656339733881. The reversal of 86656339733760 is 6733793365668.

86656339733760 is a `hidden beast` number, since 86 + 6 + 5 + 63 + 397 + 33 + 76 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 186872914944 + 86469466818816 = 432288^2 + 9298896^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13830082 + ... + 19094078.

Almost surely, 2^{86656339733760} is an apocalyptic number.

86656339733760 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 86656339733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150015889083060).

86656339733760 is an abundant number, since it is smaller than the sum of its proper divisors (213375438432360).

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

86656339733760 is a wasteful number, since it uses less digits than its factorization.

86656339733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265453 (or 5265436 counting only the distinct ones).

The product of its (nonzero) digits is 1851776640, while the sum is 72.

The spelling of 86656339733760 in words is "eighty-six trillion, six hundred fifty-six billion, three hundred thirty-nine million, seven hundred thirty-three thousand, seven hundred sixty".