86207808960 has 1008 divisors, whose sum is σ = 375265590336. Its totient is φ = 18056134656.

The previous prime is 86207808959. The next prime is 86207808977. The reversal of 86207808960 is 6980870268.

86207808960 is a `hidden beast` number, since 8 + 620 + 7 + 8 + 0 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 86207808897 and 86207808906.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 629254012 + ... + 629254148.

It is an arithmetic number, because the mean of its divisors is an integer number (372287292).

Almost surely, 2^86207808960 is an apocalyptic number.

86207808960 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 86207808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187632795168).

86207808960 is an abundant number, since it is smaller than the sum of its proper divisors (289057781376).

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

86207808960 is a wasteful number, since it uses less digits than its factorization.

86207808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 86207808960 in words is "eighty-six billion, two hundred seven million, eight hundred eight thousand, nine hundred sixty".