82606512384 has 432 divisors, whose sum is σ = 265167302400. Its totient is φ = 24524697600.

The previous prime is 82606512311. The next prime is 82606512427. The reversal of 82606512384 is 48321560628.

82606512384 is a `hidden beast` number, since 8 + 2 + 606 + 5 + 1 + 2 + 38 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461488807 + ... + 461488985.

It is an arithmetic number, because the mean of its divisors is an integer number (613813200).

Almost surely, 2^82606512384 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 82606512384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132583651200).

82606512384 is an abundant number, since it is smaller than the sum of its proper divisors (182560790016).

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

82606512384 is a wasteful number, since it uses less digits than its factorization.

82606512384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82606512384 in words is "eighty-two billion, six hundred six million, five hundred twelve thousand, three hundred eighty-four".