82365508512 has 288 divisors, whose sum is σ = 272927491200. Its totient is φ = 23074504704.

The previous prime is 82365508499. The next prime is 82365508513. The reversal of 82365508512 is 21580556328.

82365508512 is a `hidden beast` number, since 8 + 2 + 3 + 6 + 550 + 85 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (82365508513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67678528 + ... + 67679744.

It is an arithmetic number, because the mean of its divisors is an integer number (947664900).

Almost surely, 2^82365508512 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 82365508512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136463745600).

82365508512 is an abundant number, since it is smaller than the sum of its proper divisors (190561982688).

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

82365508512 is a wasteful number, since it uses less digits than its factorization.

82365508512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 82365508512 in words is "eighty-two billion, three hundred sixty-five million, five hundred eight thousand, five hundred twelve".