82576435032 has 768 divisors, whose sum is σ = 300029184000. Its totient is φ = 20341601280.

The previous prime is 82576434961. The next prime is 82576435063. The reversal of 82576435032 is 23053467528.

82576435032 is a `hidden beast` number, since 8 + 2 + 576 + 43 + 5 + 0 + 32 = 666.

It is a super-3 number, since 3×82576435032³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 391357407 + ... + 391357617.

It is an arithmetic number, because the mean of its divisors is an integer number (390663000).

Almost surely, 2^82576435032 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 82576435032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150014592000).

82576435032 is an abundant number, since it is smaller than the sum of its proper divisors (217452748968).

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

82576435032 is a wasteful number, since it uses less digits than its factorization.

82576435032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 82576435032 in words is "eighty-two billion, five hundred seventy-six million, four hundred thirty-five thousand, thirty-two".