82287418080 has 96 divisors (see below), whose sum is σ = 296234717184. Its totient is φ = 18808551936.

The previous prime is 82287418043. The next prime is 82287418091. The reversal of 82287418080 is 8081478228.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12241792 + ... + 12248511.

It is an arithmetic number, because the mean of its divisors is an integer number (3085778304).

Almost surely, 2^82287418080 is an apocalyptic number.

82287418080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82287418080 is an abundant number, since it is smaller than the sum of its proper divisors (213947299104).

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

82287418080 is a wasteful number, since it uses less digits than its factorization.

82287418080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24490328 (or 24490320 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The spelling of 82287418080 in words is "eighty-two billion, two hundred eighty-seven million, four hundred eighteen thousand, eighty".