86408908320 has 768 divisors, whose sum is σ = 350524661760. Its totient is φ = 17416912896.

The previous prime is 86408908259. The next prime is 86408908321. The reversal of 86408908320 is 2380980468.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86408908320.

It is not an unprimeable number, because it can be changed into a prime (86408908321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111783454 + ... + 111784226.

It is an arithmetic number, because the mean of its divisors is an integer number (456412320).

Almost surely, 2^86408908320 is an apocalyptic number.

86408908320 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 86408908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175262330880).

86408908320 is an abundant number, since it is smaller than the sum of its proper divisors (264115753440).

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

86408908320 is a wasteful number, since it uses less digits than its factorization.

86408908320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 86408908320 in words is "eighty-six billion, four hundred eight million, nine hundred eight thousand, three hundred twenty".