82622959981056 has 1120 divisors, whose sum is σ = 283947910456320. Its totient is φ = 23762311372800.

The previous prime is 82622959980997. The next prime is 82622959981087. The reversal of 82622959981056 is 65018995922628.

82622959981056 is a `hidden beast` number, since 8 + 2 + 6 + 2 + 29 + 599 + 8 + 1 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12370555125 + ... + 12370561803.

Almost surely, 2^{82622959981056} 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 82622959981056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141973955228160).

82622959981056 is an abundant number, since it is smaller than the sum of its proper divisors (201324950475264).

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

82622959981056 is a wasteful number, since it uses less digits than its factorization.

82622959981056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 82622959981056 in words is "eighty-two trillion, six hundred twenty-two billion, nine hundred fifty-nine million, nine hundred eighty-one thousand, fifty-six".