82557275528 has 64 divisors (see below), whose sum is σ = 190581552000. Its totient is φ = 32648919552.

The previous prime is 82557275461. The next prime is 82557275531.

It is a happy number.

82557275528 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82557275528² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2318483 + ... + 2353821.

It is an arithmetic number, because the mean of its divisors is an integer number (2977836750).

Almost surely, 2^82557275528 is an apocalyptic number.

It is an amenable number.

82557275528 is an abundant number, since it is smaller than the sum of its proper divisors (108024276472).

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

82557275528 is a wasteful number, since it uses less digits than its factorization.

82557275528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38574 (or 38570 counting only the distinct ones).

The product of its digits is 15680000, while the sum is 56.

The spelling of 82557275528 in words is "eighty-two billion, five hundred fifty-seven million, two hundred seventy-five thousand, five hundred twenty-eight".