86824468660680 has 192 divisors, whose sum is σ = 288194799709440. Its totient is φ = 22659669666816.

The previous prime is 86824468660673. The next prime is 86824468660703. The reversal of 86824468660680 is 8606686442868.

86824468660680 is a `hidden beast` number, since 8 + 6 + 8 + 2 + 4 + 4 + 6 + 8 + 6 + 606 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 86824468660599 and 86824468660608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497140732 + ... + 497315348.

It is an arithmetic number, because the mean of its divisors is an integer number (1501014581820).

Almost surely, 2^{86824468660680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86824468660680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144097399854720).

86824468660680 is an abundant number, since it is smaller than the sum of its proper divisors (201370331048760).

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

86824468660680 is a wasteful number, since it uses less digits than its factorization.

86824468660680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204068 (or 204061 counting only the distinct ones).

The product of its (nonzero) digits is 1019215872, while the sum is 72.

The spelling of 86824468660680 in words is "eighty-six trillion, eight hundred twenty-four billion, four hundred sixty-eight million, six hundred sixty thousand, six hundred eighty".