82010884536 has 448 divisors, whose sum is σ = 289475366400. Its totient is φ = 21228666624.

The previous prime is 82010884523. The next prime is 82010884583. The reversal of 82010884536 is 63548801028.

82010884536 is a `hidden beast` number, since 8 + 2 + 0 + 108 + 8 + 4 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82010884491 and 82010884500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17837790 + ... + 17842386.

Almost surely, 2^82010884536 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 82010884536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144737683200).

82010884536 is an abundant number, since it is smaller than the sum of its proper divisors (207464481864).

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

82010884536 is a wasteful number, since it uses less digits than its factorization.

82010884536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 82010884536 in words is "eighty-two billion, ten million, eight hundred eighty-four thousand, five hundred thirty-six".