86408340480 has 1320 divisors, whose sum is σ = 386401938624. Its totient is φ = 17702092800.

The previous prime is 86408340479. The next prime is 86408340517. The reversal of 86408340480 is 8404380468.

It is a tau number, because it is divible by the number of its divisors (1320).

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

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 119 ways as a sum of consecutive naturals, for example, 1217018845 + ... + 1217018915.

Almost surely, 2^86408340480 is an apocalyptic number.

86408340480 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 86408340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193200969312).

86408340480 is an abundant number, since it is smaller than the sum of its proper divisors (299993598144).

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

86408340480 is a wasteful number, since it uses less digits than its factorization.

86408340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 86408340480 in words is "eighty-six billion, four hundred eight million, three hundred forty thousand, four hundred eighty".