82789064512 has 448 divisors, whose sum is σ = 224371814400. Its totient is φ = 29350379520.

The previous prime is 82789064509. The next prime is 82789064521. The reversal of 82789064512 is 21546098728.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 82789064512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292540723 + ... + 292541005.

Almost surely, 2^82789064512 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 82789064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112185907200).

82789064512 is an abundant number, since it is smaller than the sum of its proper divisors (141582749888).

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

82789064512 is a wasteful number, since it uses less digits than its factorization.

82789064512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 82789064512 in words is "eighty-two billion, seven hundred eighty-nine million, sixty-four thousand, five hundred twelve".