86695944192 has 448 divisors, whose sum is σ = 301877089920. Its totient is φ = 24241766400.

The previous prime is 86695944187. The next prime is 86695944221. The reversal of 86695944192 is 29144959668.

86695944192 is a `hidden beast` number, since 86 + 69 + 59 + 441 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31627942 + ... + 31630682.

It is an arithmetic number, because the mean of its divisors is an integer number (673832790).

Almost surely, 2^86695944192 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 86695944192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150938544960).

86695944192 is an abundant number, since it is smaller than the sum of its proper divisors (215181145728).

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

86695944192 is a wasteful number, since it uses less digits than its factorization.

86695944192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2770 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 86695944192 in words is "eighty-six billion, six hundred ninety-five million, nine hundred forty-four thousand, one hundred ninety-two".