86450860320 has 288 divisors, whose sum is σ = 315085256640. Its totient is φ = 19854489600.

The previous prime is 86450860319. The next prime is 86450860333. The reversal of 86450860320 is 2306805468.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1064350 + ... + 1142690.

It is an arithmetic number, because the mean of its divisors is an integer number (1094046030).

Almost surely, 2^86450860320 is an apocalyptic number.

86450860320 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 86450860320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157542628320).

86450860320 is an abundant number, since it is smaller than the sum of its proper divisors (228634396320).

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

86450860320 is a wasteful number, since it uses less digits than its factorization.

86450860320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78400 (or 78381 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 86450860320 in words is "eighty-six billion, four hundred fifty million, eight hundred sixty thousand, three hundred twenty".