86253806505856 has 256 divisors, whose sum is σ = 198769839840000. Its totient is φ = 36870930432000.

The previous prime is 86253806505847. The next prime is 86253806505857. The reversal of 86253806505856 is 65850560835268.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86253806505791 and 86253806505800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86253806505857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2366276431 + ... + 2366312881.

It is an arithmetic number, because the mean of its divisors is an integer number (776444686875).

Almost surely, 2^{86253806505856} 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 86253806505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99384919920000).

86253806505856 is an abundant number, since it is smaller than the sum of its proper divisors (112516033334144).

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

86253806505856 is a wasteful number, since it uses less digits than its factorization.

86253806505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37141 (or 37129 counting only the distinct ones).

The product of its (nonzero) digits is 414720000, while the sum is 67.

The spelling of 86253806505856 in words is "eighty-six trillion, two hundred fifty-three billion, eight hundred six million, five hundred five thousand, eight hundred fifty-six".