82441503540 has 360 divisors, whose sum is σ = 293462163456. Its totient is φ = 19339689600.

The previous prime is 82441503533. The next prime is 82441503637. The reversal of 82441503540 is 4530514428.

It is a happy number.

82441503540 is a `hidden beast` number, since 8 + 24 + 41 + 50 + 3 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82441503495 and 82441503504.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 6069837 + ... + 6083403.

Almost surely, 2^82441503540 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 82441503540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146731081728).

82441503540 is an abundant number, since it is smaller than the sum of its proper divisors (211020659916).

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

82441503540 is a wasteful number, since it uses less digits than its factorization.

82441503540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13641 (or 13619 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 82441503540 in words is "eighty-two billion, four hundred forty-one million, five hundred three thousand, five hundred forty".