82546264528 has 80 divisors (see below), whose sum is σ = 197110023040. Its totient is φ = 32611051008.

The previous prime is 82546264499. The next prime is 82546264543.

82546264528 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1037626 + ... + 1114342.

It is an arithmetic number, because the mean of its divisors is an integer number (2463875288).

Almost surely, 2^82546264528 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 82546264528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98555011520).

82546264528 is an abundant number, since it is smaller than the sum of its proper divisors (114563758512).

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

82546264528 is a wasteful number, since it uses less digits than its factorization.

82546264528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77484 (or 77478 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 52.

The spelling of 82546264528 in words is "eighty-two billion, five hundred forty-six million, two hundred sixty-four thousand, five hundred twenty-eight".