82538413056 has 528 divisors, whose sum is σ = 281420904960. Its totient is φ = 23016898560.

The previous prime is 82538413037. The next prime is 82538413091. The reversal of 82538413056 is 65031483528.

82538413056 is a `hidden beast` number, since 82 + 538 + 4 + 1 + 30 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80998915 + ... + 80999933.

Almost surely, 2^82538413056 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 82538413056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140710452480).

82538413056 is an abundant number, since it is smaller than the sum of its proper divisors (198882491904).

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

82538413056 is a wasteful number, since it uses less digits than its factorization.

82538413056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

It can be divided in two parts, 82538 and 413056, that added together give a palindrome (495594).

The spelling of 82538413056 in words is "eighty-two billion, five hundred thirty-eight million, four hundred thirteen thousand, fifty-six".