82461955583280 has 480 divisors, whose sum is σ = 320972106470400. Its totient is φ = 17358920054784.

The previous prime is 82461955583221. The next prime is 82461955583297. The reversal of 82461955583280 is 8238555916428.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66499981 + ... + 67728659.

It is an arithmetic number, because the mean of its divisors is an integer number (668691888480).

Almost surely, 2^{82461955583280} is an apocalyptic number.

82461955583280 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 82461955583280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160486053235200).

82461955583280 is an abundant number, since it is smaller than the sum of its proper divisors (238510150887120).

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

82461955583280 is a wasteful number, since it uses less digits than its factorization.

82461955583280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229161 (or 1229148 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 66.

The spelling of 82461955583280 in words is "eighty-two trillion, four hundred sixty-one billion, nine hundred fifty-five million, five hundred eighty-three thousand, two hundred eighty".