86463336960 has 1920 divisors, whose sum is σ = 422108983296. Its totient is φ = 15765995520.

The previous prime is 86463336913. The next prime is 86463336977. The reversal of 86463336960 is 6963336468.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 86463336897 and 86463336906.

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 191 ways as a sum of consecutive naturals, for example, 530449839 + ... + 530450001.

Almost surely, 2^86463336960 is an apocalyptic number.

86463336960 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 86463336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211054491648).

86463336960 is an abundant number, since it is smaller than the sum of its proper divisors (335645646336).

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

86463336960 is a wasteful number, since it uses less digits than its factorization.

86463336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 86463336960 in words is "eighty-six billion, four hundred sixty-three million, three hundred thirty-six thousand, nine hundred sixty".