82280165184 has 168 divisors, whose sum is σ = 271592088768. Its totient is φ = 23329013760.

The previous prime is 82280165147. The next prime is 82280165197. The reversal of 82280165184 is 48156108228.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450304 + ... + 606080.

It is an arithmetic number, because the mean of its divisors is an integer number (1616619576).

Almost surely, 2^82280165184 is an apocalyptic number.

82280165184 is a gapful number since it is divisible by the number (84) 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 82280165184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135796044384).

82280165184 is an abundant number, since it is smaller than the sum of its proper divisors (189311923584).

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

82280165184 is a wasteful number, since it uses less digits than its factorization.

82280165184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155933 (or 155920 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 82280165184 in words is "eighty-two billion, two hundred eighty million, one hundred sixty-five thousand, one hundred eighty-four".