86986457208 has 384 divisors, whose sum is σ = 289677772800. Its totient is φ = 23017623552.

The previous prime is 86986457197. The next prime is 86986457209. The reversal of 86986457208 is 80275468968.

86986457208 is a `hidden beast` number, since 86 + 9 + 86 + 457 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86986457209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219109266 + ... + 219109662.

It is an arithmetic number, because the mean of its divisors is an integer number (754369200).

Almost surely, 2^86986457208 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 86986457208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144838886400).

86986457208 is an abundant number, since it is smaller than the sum of its proper divisors (202691315592).

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

86986457208 is a wasteful number, since it uses less digits than its factorization.

86986457208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 86986457208 in words is "eighty-six billion, nine hundred eighty-six million, four hundred fifty-seven thousand, two hundred eight".