82261385727360 has 768 divisors, whose sum is σ = 315348293145600. Its totient is φ = 17846243573760.

The previous prime is 82261385727329. The next prime is 82261385727377. The reversal of 82261385727360 is 6372758316228.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 82261385727294 and 82261385727303.

It is a congruent number.

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, 1356724245 + ... + 1356784875.

It is an arithmetic number, because the mean of its divisors is an integer number (410609756700).

Almost surely, 2^{82261385727360} is an apocalyptic number.

82261385727360 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 82261385727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157674146572800).

82261385727360 is an abundant number, since it is smaller than the sum of its proper divisors (233086907418240).

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

82261385727360 is a wasteful number, since it uses less digits than its factorization.

82261385727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60807 (or 60736 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 82261385727360 in words is "eighty-two trillion, two hundred sixty-one billion, three hundred eighty-five million, seven hundred twenty-seven thousand, three hundred sixty".