86606015052560 has 160 divisors (see below), whose sum is σ = 214845098533632. Its totient is φ = 32354054553600.

The previous prime is 86606015052517. The next prime is 86606015052563. The reversal of 86606015052560 is 6525051060668.

It is a junction number, because it is equal to n+sod(n) for n = 86606015052499 and 86606015052508.

It is not an unprimeable number, because it can be changed into a prime (86606015052563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192197279 + ... + 192647361.

Almost surely, 2^{86606015052560} is an apocalyptic number.

86606015052560 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 86606015052560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107422549266816).

86606015052560 is an abundant number, since it is smaller than the sum of its proper divisors (128239083481072).

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

86606015052560 is a wasteful number, since it uses less digits than its factorization.

86606015052560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451201 (or 451195 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 50.

The spelling of 86606015052560 in words is "eighty-six trillion, six hundred six billion, fifteen million, fifty-two thousand, five hundred sixty".