82824605136 has 1280 divisors, whose sum is σ = 328867840000. Its totient is φ = 19752284160.

The previous prime is 82824605107. The next prime is 82824605177. The reversal of 82824605136 is 63150642828.

82824605136 is a `hidden beast` number, since 8 + 2 + 8 + 2 + 4 + 605 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82824605091 and 82824605100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1134583596 + ... + 1134583668.

It is an arithmetic number, because the mean of its divisors is an integer number (256928000).

Almost surely, 2^82824605136 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 82824605136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164433920000).

82824605136 is an abundant number, since it is smaller than the sum of its proper divisors (246043234864).

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

82824605136 is a wasteful number, since it uses less digits than its factorization.

82824605136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82824605136 in words is "eighty-two billion, eight hundred twenty-four million, six hundred five thousand, one hundred thirty-six".