86681353486680 has 48 divisors (see below), whose sum is σ = 281714398832880. Its totient is φ = 23115027596352.

The previous prime is 86681353486669. The next prime is 86681353486759. The reversal of 86681353486680 is 8668435318668.

86681353486680 is a `hidden beast` number, since 8 + 6 + 6 + 8 + 1 + 3 + 534 + 8 + 6 + 6 + 80 = 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 = 86681353486599 and 86681353486608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120390768372 + ... + 120390769091.

It is an arithmetic number, because the mean of its divisors is an integer number (5869049975685).

Almost surely, 2^{86681353486680} is an apocalyptic number.

It is an amenable number.

86681353486680 is an abundant number, since it is smaller than the sum of its proper divisors (195033045346200).

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

86681353486680 is a wasteful number, since it uses less digits than its factorization.

86681353486680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240781537480 (or 240781537473 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 86681353486680 in words is "eighty-six trillion, six hundred eighty-one billion, three hundred fifty-three million, four hundred eighty-six thousand, six hundred eighty".