86405315856 has 80 divisors (see below), whose sum is σ = 224119405440. Its totient is φ = 28685163520.

The previous prime is 86405315851. The next prime is 86405315903. The reversal of 86405315856 is 65851350468.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86405315799 and 86405315808.

It is not an unprimeable number, because it can be changed into a prime (86405315851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12575590 + ... + 12582458.

It is an arithmetic number, because the mean of its divisors is an integer number (2801492568).

Almost surely, 2^86405315856 is an apocalyptic number.

It is an amenable number.

86405315856 is an abundant number, since it is smaller than the sum of its proper divisors (137714089584).

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

86405315856 is a wasteful number, since it uses less digits than its factorization.

86405315856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7904 (or 7898 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 86405315856 in words is "eighty-six billion, four hundred five million, three hundred fifteen thousand, eight hundred fifty-six".