82131115790592 has 1728 divisors, whose sum is σ = 289350560378880. Its totient is φ = 22129459200000.

The previous prime is 82131115790513. The next prime is 82131115790609. The reversal of 82131115790592 is 29509751113128.

82131115790592 is a `hidden beast` number, since 8 + 2 + 1 + 3 + 1 + 11 + 579 + 0 + 59 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56603111467 + ... + 56603112917.

It is an arithmetic number, because the mean of its divisors is an integer number (167448240960).

Almost surely, 2^{82131115790592} is an apocalyptic number.

82131115790592 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 82131115790592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144675280189440).

82131115790592 is an abundant number, since it is smaller than the sum of its proper divisors (207219444588288).

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

82131115790592 is a wasteful number, since it uses less digits than its factorization.

82131115790592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 82131115790592 in words is "eighty-two trillion, one hundred thirty-one billion, one hundred fifteen million, seven hundred ninety thousand, five hundred ninety-two".