86488589376 has 448 divisors, whose sum is σ = 301440860160. Its totient is φ = 23795804160.

The previous prime is 86488589357. The next prime is 86488589389. The reversal of 86488589376 is 67398588468.

86488589376 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 8 + 589 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98618250 + ... + 98619126.

Almost surely, 2^86488589376 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 86488589376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150720430080).

86488589376 is an abundant number, since it is smaller than the sum of its proper divisors (214952270784).

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

86488589376 is a wasteful number, since it uses less digits than its factorization.

86488589376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1183 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 86488589376 in words is "eighty-six billion, four hundred eighty-eight million, five hundred eighty-nine thousand, three hundred seventy-six".