82209735432 has 128 divisors (see below), whose sum is σ = 249221952000. Its totient is φ = 24901888320.

The previous prime is 82209735367. The next prime is 82209735449. The reversal of 82209735432 is 23453790228.

82209735432 is a `hidden beast` number, since 8 + 2 + 209 + 7 + 3 + 5 + 432 = 666.

It is a super-3 number, since 3×82209735432³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7509819 + ... + 7520757.

It is an arithmetic number, because the mean of its divisors is an integer number (1947046500).

Almost surely, 2^82209735432 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 82209735432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124610976000).

82209735432 is an abundant number, since it is smaller than the sum of its proper divisors (167012216568).

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

82209735432 is a wasteful number, since it uses less digits than its factorization.

82209735432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14128 (or 14118 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 82209735432 in words is "eighty-two billion, two hundred nine million, seven hundred thirty-five thousand, four hundred thirty-two".