82852982784 has 832 divisors, whose sum is σ = 299436748800. Its totient is φ = 22428057600.

The previous prime is 82852982747. The next prime is 82852982813. The reversal of 82852982784 is 48728925828.

82852982784 is a `hidden beast` number, since 8 + 2 + 8 + 529 + 8 + 27 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

Its product of digits (41287680) is a multiple of the sum of its prime divisors (60).

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, 2672676849 + ... + 2672676879.

Almost surely, 2^82852982784 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 82852982784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149718374400).

82852982784 is an abundant number, since it is smaller than the sum of its proper divisors (216583766016).

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

82852982784 is a wasteful number, since it uses less digits than its factorization.

82852982784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 82852982784 in words is "eighty-two billion, eight hundred fifty-two million, nine hundred eighty-two thousand, seven hundred eighty-four".