82606535424 has 288 divisors, whose sum is σ = 280180400640. Its totient is φ = 23517278208.

The previous prime is 82606535393. The next prime is 82606535437. The reversal of 82606535424 is 42453560628.

82606535424 is a `hidden beast` number, since 8 + 2 + 606 + 5 + 35 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 82606535424.

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 31 ways as a sum of consecutive naturals, for example, 14173599 + ... + 14179425.

Almost surely, 2^82606535424 is an apocalyptic number.

82606535424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82606535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140090200320).

82606535424 is an abundant number, since it is smaller than the sum of its proper divisors (197573865216).

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

82606535424 is a wasteful number, since it uses less digits than its factorization.

82606535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 82606535424 in words is "eighty-two billion, six hundred six million, five hundred thirty-five thousand, four hundred twenty-four".