82707000000000 has 800 divisors, whose sum is σ = 290116376542080. Its totient is φ = 20880000000000.

The previous prime is 82706999999927. The next prime is 82707000000059. The reversal of 82707000000000 is 70728.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 82706999999898 and 82706999999907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56999999275 + ... + 57000000725.

Almost surely, 2^{82707000000000} is an apocalyptic number.

82707000000000 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 82707000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145058188271040).

82707000000000 is an abundant number, since it is smaller than the sum of its proper divisors (207409376542080).

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

82707000000000 is an frugal number, since it uses more digits than its factorization.

82707000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

Adding to 82707000000000 its reverse (70728), we get a palindrome (82707000070728).

The spelling of 82707000000000 in words is "eighty-two trillion, seven hundred seven billion", and thus it is an aban number.