86859565632 has 336 divisors, whose sum is σ = 294418788352. Its totient is φ = 23958789120.

The previous prime is 86859565627. The next prime is 86859565649. The reversal of 86859565632 is 23656595868.

86859565632 is a `hidden beast` number, since 8 + 6 + 8 + 5 + 9 + 565 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 86859565632.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98368263 + ... + 98369145.

Almost surely, 2^86859565632 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 86859565632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147209394176).

86859565632 is an abundant number, since it is smaller than the sum of its proper divisors (207559222720).

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

86859565632 is a wasteful number, since it uses less digits than its factorization.

86859565632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1713 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 86859565632 in words is "eighty-six billion, eight hundred fifty-nine million, five hundred sixty-five thousand, six hundred thirty-two".