82274069268000 has 1152 divisors, whose sum is σ = 312312944885760. Its totient is φ = 20451191040000.

The previous prime is 82274069267989. The next prime is 82274069268023. The reversal of 82274069268000 is 86296047228.

82274069268000 is a `hidden beast` number, since 8 + 227 + 406 + 9 + 2 + 6 + 8 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29478346605 + ... + 29478349395.

It is an arithmetic number, because the mean of its divisors is an integer number (271104986880).

Almost surely, 2^{82274069268000} is an apocalyptic number.

82274069268000 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 82274069268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156156472442880).

82274069268000 is an abundant number, since it is smaller than the sum of its proper divisors (230038875617760).

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

82274069268000 is a wasteful number, since it uses less digits than its factorization.

82274069268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 82274069268000 in words is "eighty-two trillion, two hundred seventy-four billion, sixty-nine million, two hundred sixty-eight thousand".