82505293258752 has 1120 divisors, whose sum is σ = 316557784553472. Its totient is φ = 20813216219136.

The previous prime is 82505293258741. The next prime is 82505293258769. The reversal of 82505293258752 is 25785239250528.

It is a happy number.

82505293258752 is a `hidden beast` number, since 8 + 2 + 5 + 0 + 529 + 3 + 2 + 58 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 82505293258752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1388784633 + ... + 1388844039.

Almost surely, 2^{82505293258752} 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 82505293258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158278892276736).

82505293258752 is an abundant number, since it is smaller than the sum of its proper divisors (234052491294720).

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

82505293258752 is a wasteful number, since it uses less digits than its factorization.

82505293258752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59488 (or 59455 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 82505293258752 in words is "eighty-two trillion, five hundred five billion, two hundred ninety-three million, two hundred fifty-eight thousand, seven hundred fifty-two".