82017375552 has 392 divisors, whose sum is σ = 287909560832. Its totient is φ = 22674816000.

The previous prime is 82017375547. The next prime is 82017375569. The reversal of 82017375552 is 25557371028.

82017375552 is a `hidden beast` number, since 8 + 20 + 1 + 7 + 3 + 75 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82017375498 and 82017375507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10120302 + ... + 10128402.

Almost surely, 2^82017375552 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 82017375552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143954780416).

82017375552 is an abundant number, since it is smaller than the sum of its proper divisors (205892185280).

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

82017375552 is an equidigital number, since it uses as much as digits as its factorization.

82017375552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8169 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 82017375552 in words is "eighty-two billion, seventeen million, three hundred seventy-five thousand, five hundred fifty-two".