82143694080 has 2160 divisors, whose sum is σ = 385706724480. Its totient is φ = 16554295296.

The previous prime is 82143694067. The next prime is 82143694091. The reversal of 82143694080 is 8049634128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 2220099822 + ... + 2220099858.

It is an arithmetic number, because the mean of its divisors is an integer number (178567928).

Almost surely, 2^82143694080 is an apocalyptic number.

82143694080 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 82143694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192853362240).

82143694080 is an abundant number, since it is smaller than the sum of its proper divisors (303563030400).

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

82143694080 is a wasteful number, since it uses less digits than its factorization.

82143694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 82143694080 in words is "eighty-two billion, one hundred forty-three million, six hundred ninety-four thousand, eighty".