86608272011760 has 120 divisors (see below), whose sum is σ = 290864349762480. Its totient is φ = 23095149889536.

The previous prime is 86608272011743. The next prime is 86608272011867. The reversal of 86608272011760 is 6711027280668.

86608272011760 is a `hidden beast` number, since 8 + 6 + 608 + 2 + 7 + 20 + 1 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 86608272011697 and 86608272011706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43058427 + ... + 45024933.

It is an arithmetic number, because the mean of its divisors is an integer number (2423869581354).

Almost surely, 2^{86608272011760} is an apocalyptic number.

86608272011760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86608272011760 is an abundant number, since it is smaller than the sum of its proper divisors (204256077750720).

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

86608272011760 is a wasteful number, since it uses less digits than its factorization.

86608272011760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027695 (or 2027686 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 86608272011760 in words is "eighty-six trillion, six hundred eight billion, two hundred seventy-two million, eleven thousand, seven hundred sixty".