86255854776 has 320 divisors, whose sum is σ = 304610201280. Its totient is φ = 22193326080.

The previous prime is 86255854771. The next prime is 86255854781. The reversal of 86255854776 is 67745855268.

86255854776 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 585 + 47 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (86255854771) and next prime (86255854781).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86255854771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2399850 + ... + 2435526.

It is an arithmetic number, because the mean of its divisors is an integer number (951906879).

Almost surely, 2^86255854776 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 86255854776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152305100640).

86255854776 is an abundant number, since it is smaller than the sum of its proper divisors (218354346504).

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

86255854776 is a wasteful number, since it uses less digits than its factorization.

86255854776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35756 (or 35743 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 86255854776 in words is "eighty-six billion, two hundred fifty-five million, eight hundred fifty-four thousand, seven hundred seventy-six".