82564359552 has 192 divisors, whose sum is σ = 253522978800. Its totient is φ = 25715294208.

The previous prime is 82564359529. The next prime is 82564359589. The reversal of 82564359552 is 25595346528.

82564359552 is a `hidden beast` number, since 8 + 2 + 5 + 6 + 43 + 595 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1571988 + ... + 1623660.

Almost surely, 2^82564359552 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 82564359552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126761489400).

82564359552 is an abundant number, since it is smaller than the sum of its proper divisors (170958619248).

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

82564359552 is a wasteful number, since it uses less digits than its factorization.

82564359552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51785 (or 51770 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 82564359552 in words is "eighty-two billion, five hundred sixty-four million, three hundred fifty-nine thousand, five hundred fifty-two".