86487160320 has 840 divisors, whose sum is σ = 342633570048. Its totient is φ = 20911841280.

The previous prime is 86487160297. The next prime is 86487160321. The reversal of 86487160320 is 2306178468.

86487160320 is a `hidden beast` number, since 8 + 6 + 487 + 160 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86487160321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 225814849 + ... + 225815231.

Almost surely, 2^86487160320 is an apocalyptic number.

86487160320 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 86487160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171316785024).

86487160320 is an abundant number, since it is smaller than the sum of its proper divisors (256146409728).

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

86487160320 is an equidigital number, since it uses as much as digits as its factorization.

86487160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 86487160320 in words is "eighty-six billion, four hundred eighty-seven million, one hundred sixty thousand, three hundred twenty".