86463074880 has 672 divisors, whose sum is σ = 368335828224. Its totient is φ = 18127798272.

The previous prime is 86463074861. The next prime is 86463074891. The reversal of 86463074880 is 8847036468.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45338887 + ... + 45340793.

It is an arithmetic number, because the mean of its divisors is an integer number (548118792).

Almost surely, 2^86463074880 is an apocalyptic number.

86463074880 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 86463074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184167914112).

86463074880 is an abundant number, since it is smaller than the sum of its proper divisors (281872753344).

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

86463074880 is a wasteful number, since it uses less digits than its factorization.

86463074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 86463074880 in words is "eighty-six billion, four hundred sixty-three million, seventy-four thousand, eight hundred eighty".