86595886080 has 1056 divisors, whose sum is σ = 351269130240. Its totient is φ = 20194099200.

The previous prime is 86595886063. The next prime is 86595886081. The reversal of 86595886080 is 8068859568.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 86595885999 and 86595886017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86595886081) 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 95 ways as a sum of consecutive naturals, for example, 518538157 + ... + 518538323.

Almost surely, 2^86595886080 is an apocalyptic number.

86595886080 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 86595886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175634565120).

86595886080 is an abundant number, since it is smaller than the sum of its proper divisors (264673244160).

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

86595886080 is a wasteful number, since it uses less digits than its factorization.

86595886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

It can be divided in two parts, 8659588 and 6080, that added together give a palindrome (8665668).

The spelling of 86595886080 in words is "eighty-six billion, five hundred ninety-five million, eight hundred eighty-six thousand, eighty".