82018000512 has 192 divisors, whose sum is σ = 278433692160. Its totient is φ = 22677719040.

The previous prime is 82018000507. The next prime is 82018000513. The reversal of 82018000512 is 21500081028.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (82018000513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85938 + ... + 414030.

It is an arithmetic number, because the mean of its divisors is an integer number (1450175480).

Almost surely, 2^82018000512 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 82018000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139216846080).

82018000512 is an abundant number, since it is smaller than the sum of its proper divisors (196415691648).

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

82018000512 is a wasteful number, since it uses less digits than its factorization.

82018000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328151 (or 328136 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 82018000512 in words is "eighty-two billion, eighteen million, five hundred twelve", and thus it is an aban number.