86186975616 has 416 divisors, whose sum is σ = 295969936080. Its totient is φ = 24488801280.

The previous prime is 86186975593. The next prime is 86186975711. The reversal of 86186975616 is 61657968168.

86186975616 is a `hidden beast` number, since 8 + 6 + 1 + 8 + 6 + 9 + 7 + 5 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 51 ways as a sum of consecutive naturals, for example, 476171046 + ... + 476171226.

Almost surely, 2^86186975616 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 86186975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147984968040).

86186975616 is an abundant number, since it is smaller than the sum of its proper divisors (209782960464).

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

86186975616 is an frugal number, since it uses more digits than its factorization.

86186975616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 193 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 86186975616 in words is "eighty-six billion, one hundred eighty-six million, nine hundred seventy-five thousand, six hundred sixteen".