86067539712 has 1152 divisors, whose sum is σ = 339075072000. Its totient is φ = 20875345920.

The previous prime is 86067539693. The next prime is 86067539717. The reversal of 86067539712 is 21793576068.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86067539717) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 967050964 + ... + 967051052.

It is an arithmetic number, because the mean of its divisors is an integer number (294336000).

Almost surely, 2^86067539712 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 86067539712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169537536000).

86067539712 is an abundant number, since it is smaller than the sum of its proper divisors (253007532288).

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

86067539712 is a wasteful number, since it uses less digits than its factorization.

86067539712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 86067539712 in words is "eighty-six billion, sixty-seven million, five hundred thirty-nine thousand, seven hundred twelve".