82380408706288 has 80 divisors (see below), whose sum is σ = 199024649464320. Its totient is φ = 32091776352000.

The previous prime is 82380408706261. The next prime is 82380408706301. The reversal of 82380408706288 is 88260780408328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4149738 + ... + 13490038.

It is an arithmetic number, because the mean of its divisors is an integer number (2487808118304).

Almost surely, 2^{82380408706288} is an apocalyptic number.

82380408706288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82380408706288 is an abundant number, since it is smaller than the sum of its proper divisors (116644240758032).

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

82380408706288 is a wasteful number, since it uses less digits than its factorization.

82380408706288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347486 (or 9347480 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 64.

The spelling of 82380408706288 in words is "eighty-two trillion, three hundred eighty billion, four hundred eight million, seven hundred six thousand, two hundred eighty-eight".