86256186282 has 256 divisors, whose sum is σ = 243125452800. Its totient is φ = 22110978240.

The previous prime is 86256186259. The next prime is 86256186283. The reversal of 86256186282 is 28268165268.

It is a happy number.

86256186282 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 6 + 1 + 8 + 628 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86256186283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10460053 + ... + 10468295.

It is an arithmetic number, because the mean of its divisors is an integer number (949708800).

Almost surely, 2^86256186282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86256186282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121562726400).

86256186282 is an abundant number, since it is smaller than the sum of its proper divisors (156869266518).

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

86256186282 is a wasteful number, since it uses less digits than its factorization.

86256186282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358 (or 8352 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 86256186282 in words is "eighty-six billion, two hundred fifty-six million, one hundred eighty-six thousand, two hundred eighty-two".