82572786432 has 432 divisors, whose sum is σ = 262641899520. Its totient is φ = 24850022400.

The previous prime is 82572786431. The next prime is 82572786433. The reversal of 82572786432 is 23468727528.

82572786432 is a `hidden beast` number, since 8 + 2 + 572 + 7 + 8 + 64 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (82572786431) and next prime (82572786433).

It is not an unprimeable number, because it can be changed into a prime (82572786431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96350548 + ... + 96351404.

It is an arithmetic number, because the mean of its divisors is an integer number (607967360).

Almost surely, 2^82572786432 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 82572786432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131320949760).

82572786432 is an abundant number, since it is smaller than the sum of its proper divisors (180069113088).

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

82572786432 is a wasteful number, since it uses less digits than its factorization.

82572786432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 983 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 82572786432 in words is "eighty-two billion, five hundred seventy-two million, seven hundred eighty-six thousand, four hundred thirty-two".