82708590751872 has 256 divisors, whose sum is σ = 239300656128000. Its totient is φ = 25233431224320.

The previous prime is 82708590751847. The next prime is 82708590751889. The reversal of 82708590751872 is 27815709580728.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 82708590751797 and 82708590751806.

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 31 ways as a sum of consecutive naturals, for example, 22670379 + ... + 26064597.

It is an arithmetic number, because the mean of its divisors is an integer number (934768188000).

Almost surely, 2^{82708590751872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82708590751872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119650328064000).

82708590751872 is an abundant number, since it is smaller than the sum of its proper divisors (156592065376128).

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

82708590751872 is a wasteful number, since it uses less digits than its factorization.

82708590751872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394379 (or 3394367 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 69.

The spelling of 82708590751872 in words is "eighty-two trillion, seven hundred eight billion, five hundred ninety million, seven hundred fifty-one thousand, eight hundred seventy-two".