82352184065550 has 288 divisors, whose sum is σ = 254393119798272. Its totient is φ = 18709320695040.

The previous prime is 82352184065479. The next prime is 82352184065573. The reversal of 82352184065550 is 5556048125328.

82352184065550 is a `hidden beast` number, since 8 + 2 + 3 + 5 + 2 + 1 + 84 + 0 + 6 + 5 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2150898507 + ... + 2150936793.

It is an arithmetic number, because the mean of its divisors is an integer number (883309443744).

Almost surely, 2^{82352184065550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82352184065550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127196559899136).

82352184065550 is an abundant number, since it is smaller than the sum of its proper divisors (172040935732722).

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

82352184065550 is a wasteful number, since it uses less digits than its factorization.

82352184065550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42432 (or 42424 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 82352184065550 in words is "eighty-two trillion, three hundred fifty-two billion, one hundred eighty-four million, sixty-five thousand, five hundred fifty".