86486512320 has 1120 divisors, whose sum is σ = 348957278208. Its totient is φ = 20191223808.

The previous prime is 86486512309. The next prime is 86486512327. The reversal of 86486512320 is 2321568468.

86486512320 is a `hidden beast` number, since 86 + 486 + 51 + 23 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (86486512327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 680996097 + ... + 680996223.

Almost surely, 2^86486512320 is an apocalyptic number.

86486512320 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 86486512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174478639104).

86486512320 is an abundant number, since it is smaller than the sum of its proper divisors (262470765888).

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

86486512320 is a wasteful number, since it uses less digits than its factorization.

86486512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 86486512320 in words is "eighty-six billion, four hundred eighty-six million, five hundred twelve thousand, three hundred twenty".