86256218802681 has 24 divisors (see below), whose sum is σ = 125482128982080. Its totient is φ = 57094025186016.

The previous prime is 86256218802667. The next prime is 86256218802773. The reversal of 86256218802681 is 18620881265268.

86256218802681 is a `hidden beast` number, since 8 + 6 + 2 + 562 + 1 + 8 + 8 + 0 + 2 + 68 + 1 = 666.

It is not a de Polignac number, because 86256218802681 - 2²⁷ = 86256084584953 is a prime.

It is a super-2 number, since 2×86256218802681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86256218822681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21583551 + ... + 25265828.

It is an arithmetic number, because the mean of its divisors is an integer number (5228422040920).

Almost surely, 2^{86256218802681} is an apocalyptic number.

It is an amenable number.

86256218802681 is a deficient number, since it is larger than the sum of its proper divisors (39225910179399).

86256218802681 is a wasteful number, since it uses less digits than its factorization.

86256218802681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46850845 (or 46850842 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 86256218802681 in words is "eighty-six trillion, two hundred fifty-six billion, two hundred eighteen million, eight hundred two thousand, six hundred eighty-one".