82354048543560 has 512 divisors, whose sum is σ = 269361848701440. Its totient is φ = 20064360136704.

The previous prime is 82354048543549. The next prime is 82354048543597. The reversal of 82354048543560 is 6534584045328.

It is a self number, because there is not a number n which added to its sum of digits gives 82354048543560.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10145868622 + ... + 10145876738.

It is an arithmetic number, because the mean of its divisors is an integer number (526097360745).

Almost surely, 2^{82354048543560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82354048543560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134680924350720).

82354048543560 is an abundant number, since it is smaller than the sum of its proper divisors (187007800157880).

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

82354048543560 is a wasteful number, since it uses less digits than its factorization.

82354048543560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9185 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 57.

The spelling of 82354048543560 in words is "eighty-two trillion, three hundred fifty-four billion, forty-eight million, five hundred forty-three thousand, five hundred sixty".