82756385712 has 1440 divisors, whose sum is σ = 342896386560. Its totient is φ = 18065203200.

The previous prime is 82756385669. The next prime is 82756385729. The reversal of 82756385712 is 21758365728.

82756385712 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 63 + 8 + 571 + 2 = 666.

It is a super-2 number, since 2×82756385712² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1235169903 + ... + 1235169969.

Almost surely, 2^82756385712 is an apocalyptic number.

82756385712 is a gapful number since it is divisible by the number (82) 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 82756385712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171448193280).

82756385712 is an abundant number, since it is smaller than the sum of its proper divisors (260140000848).

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

82756385712 is a wasteful number, since it uses less digits than its factorization.

82756385712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 82756385712 in words is "eighty-two billion, seven hundred fifty-six million, three hundred eighty-five thousand, seven hundred twelve".