82410490260 has 432 divisors, whose sum is σ = 302882361600. Its totient is φ = 18826395840.

The previous prime is 82410490231. The next prime is 82410490273. The reversal of 82410490260 is 6209401428.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45007545 + ... + 45009375.

Almost surely, 2^82410490260 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 82410490260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151441180800).

82410490260 is an abundant number, since it is smaller than the sum of its proper divisors (220471871340).

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

82410490260 is an equidigital number, since it uses as much as digits as its factorization.

82410490260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 82410490260 its reverse (6209401428), we get a palindrome (88619891688).

The spelling of 82410490260 in words is "eighty-two billion, four hundred ten million, four hundred ninety thousand, two hundred sixty".