82704040121752 has 128 divisors (see below), whose sum is σ = 183162839408640. Its totient is φ = 34259418685440.

The previous prime is 82704040121737. The next prime is 82704040121827. The reversal of 82704040121752 is 25712104040728.

It is a junction number, because it is equal to n+sod(n) for n = 82704040121699 and 82704040121708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9061465813 + ... + 9061474939.

It is an arithmetic number, because the mean of its divisors is an integer number (1430959682880).

Almost surely, 2^{82704040121752} 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 82704040121752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91581419704320).

82704040121752 is an abundant number, since it is smaller than the sum of its proper divisors (100458799286888).

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

82704040121752 is a wasteful number, since it uses less digits than its factorization.

82704040121752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14961 (or 14957 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The spelling of 82704040121752 in words is "eighty-two trillion, seven hundred four billion, forty million, one hundred twenty-one thousand, seven hundred fifty-two".