82520287435728 has 200 divisors, whose sum is σ = 241801518774816. Its totient is φ = 27167406739200.

The previous prime is 82520287435681. The next prime is 82520287435759. The reversal of 82520287435728 is 82753478202528.

82520287435728 is a `hidden beast` number, since 8 + 2 + 5 + 202 + 8 + 74 + 357 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34670950 + ... + 36974522.

Almost surely, 2^{82520287435728} 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 82520287435728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120900759387408).

82520287435728 is an abundant number, since it is smaller than the sum of its proper divisors (159281231339088).

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

82520287435728 is a wasteful number, since it uses less digits than its factorization.

82520287435728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303935 (or 2303920 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 82520287435728 in words is "eighty-two trillion, five hundred twenty billion, two hundred eighty-seven million, four hundred thirty-five thousand, seven hundred twenty-eight".