82712443239360 has 1120 divisors, whose sum is σ = 336866064302592. Its totient is φ = 19068570132480.

The previous prime is 82712443239343. The next prime is 82712443239407. The reversal of 82712443239360 is 6393234421728.

It is a happy number.

82712443239360 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 2 + 4 + 43 + 239 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82712443239297 and 82712443239306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1134456027 + ... + 1134528933.

Almost surely, 2^{82712443239360} is an apocalyptic number.

82712443239360 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 82712443239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168433032151296).

82712443239360 is an abundant number, since it is smaller than the sum of its proper divisors (254153621063232).

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

82712443239360 is a wasteful number, since it uses less digits than its factorization.

82712443239360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73143 (or 73124 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 82712443239360 in words is "eighty-two trillion, seven hundred twelve billion, four hundred forty-three million, two hundred thirty-nine thousand, three hundred sixty".