86505090240080 has 80 divisors (see below), whose sum is σ = 211828570734720. Its totient is φ = 32762490038784.

The previous prime is 86505090240077. The next prime is 86505090240083. The reversal of 86505090240080 is 8004209050568.

It is an interprime number because it is at equal distance from previous prime (86505090240077) and next prime (86505090240083).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86505090240083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13249247 + ... + 18669566.

It is an arithmetic number, because the mean of its divisors is an integer number (2647857134184).

Almost surely, 2^{86505090240080} is an apocalyptic number.

86505090240080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86505090240080 is an abundant number, since it is smaller than the sum of its proper divisors (125323480494640).

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

86505090240080 is a wasteful number, since it uses less digits than its factorization.

86505090240080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31920628 (or 31920622 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 86505090240080 in words is "eighty-six trillion, five hundred five billion, ninety million, two hundred forty thousand, eighty".