86311369760 has 192 divisors, whose sum is σ = 260428379904. Its totient is φ = 26245939200.

The previous prime is 86311369759. The next prime is 86311369777. The reversal of 86311369760 is 6796311368.

It is a junction number, because it is equal to n+sod(n) for n = 86311369699 and 86311369708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419684 + ... + 590556.

It is an arithmetic number, because the mean of its divisors is an integer number (1356397812).

Almost surely, 2^86311369760 is an apocalyptic number.

86311369760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86311369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130214189952).

86311369760 is an abundant number, since it is smaller than the sum of its proper divisors (174117010144).

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

86311369760 is a wasteful number, since it uses less digits than its factorization.

86311369760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170947 (or 170939 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 86311369760 in words is "eighty-six billion, three hundred eleven million, three hundred sixty-nine thousand, seven hundred sixty".