82348075847680 has 104 divisors (see below), whose sum is σ = 198919947910464. Its totient is φ = 32721088512000.

The previous prime is 82348075847669. The next prime is 82348075847731. The reversal of 82348075847680 is 8674857084328.

82348075847680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82348075847680² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10221766 + ... + 16406725.

Almost surely, 2^{82348075847680} is an apocalyptic number.

82348075847680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82348075847680 is an abundant number, since it is smaller than the sum of its proper divisors (116571872062784).

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

82348075847680 is a wasteful number, since it uses less digits than its factorization.

82348075847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26628671 (or 26628649 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 70.

The spelling of 82348075847680 in words is "eighty-two trillion, three hundred forty-eight billion, seventy-five million, eight hundred forty-seven thousand, six hundred eighty".