86301211140 has 36 divisors (see below), whose sum is σ = 261780341004. Its totient is φ = 23013656256.

The previous prime is 86301211123. The next prime is 86301211141. The reversal of 86301211140 is 4111210368.

It is a happy number.

86301211140 is a `hidden beast` number, since 8 + 6 + 301 + 211 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50325743556 + 35975467584 = 224334^2 + 189672^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (86301211141) by changing a digit.

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, 239725407 + ... + 239725766.

It is an arithmetic number, because the mean of its divisors is an integer number (7271676139).

Almost surely, 2^86301211140 is an apocalyptic number.

It is an amenable number.

86301211140 is an abundant number, since it is smaller than the sum of its proper divisors (175479129864).

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

86301211140 is a wasteful number, since it uses less digits than its factorization.

86301211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479451188 (or 479451183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 86301211140 in words is "eighty-six billion, three hundred one million, two hundred eleven thousand, one hundred forty".