86403317760 has 576 divisors, whose sum is σ = 324637891200. Its totient is φ = 21743271936.

The previous prime is 86403317729. The next prime is 86403317771. The reversal of 86403317760 is 6771330468.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 336199552 + ... + 336199808.

It is an arithmetic number, because the mean of its divisors is an integer number (563607450).

Almost surely, 2^86403317760 is an apocalyptic number.

86403317760 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 86403317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162318945600).

86403317760 is an abundant number, since it is smaller than the sum of its proper divisors (238234573440).

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

86403317760 is an equidigital number, since it uses as much as digits as its factorization.

86403317760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 86403317760 in words is "eighty-six billion, four hundred three million, three hundred seventeen thousand, seven hundred sixty".