82627783274880 has 1024 divisors, whose sum is σ = 299311593984000. Its totient is φ = 21537663713280.

The previous prime is 82627783274867. The next prime is 82627783274887. The reversal of 82627783274880 is 8847238772628.

82627783274880 is a `hidden beast` number, since 8 + 2 + 6 + 277 + 8 + 3 + 274 + 8 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82627783274799 and 82627783274808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82627783274887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122049901102 + ... + 122049901778.

It is an arithmetic number, because the mean of its divisors is an integer number (292296478500).

Almost surely, 2^{82627783274880} is an apocalyptic number.

82627783274880 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 82627783274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149655796992000).

82627783274880 is an abundant number, since it is smaller than the sum of its proper divisors (216683810709120).

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

82627783274880 is a wasteful number, since it uses less digits than its factorization.

82627783274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 809238528, while the sum is 72.

The spelling of 82627783274880 in words is "eighty-two trillion, six hundred twenty-seven billion, seven hundred eighty-three million, two hundred seventy-four thousand, eight hundred eighty".