82603535840 has 384 divisors, whose sum is σ = 251136184320. Its totient is φ = 25008242688.

The previous prime is 82603535837. The next prime is 82603535869. The reversal of 82603535840 is 4853530628.

It is a junction number, because it is equal to n+sod(n) for n = 82603535791 and 82603535800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23207981 + ... + 23211539.

It is an arithmetic number, because the mean of its divisors is an integer number (654000480).

Almost surely, 2^82603535840 is an apocalyptic number.

82603535840 is a gapful number since it is divisible by the number (80) 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 82603535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125568092160).

82603535840 is an abundant number, since it is smaller than the sum of its proper divisors (168532648480).

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

82603535840 is a wasteful number, since it uses less digits than its factorization.

82603535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 82603535840 in words is "eighty-two billion, six hundred three million, five hundred thirty-five thousand, eight hundred forty".