82136824833024 has 1056 divisors, whose sum is σ = 270899809689600. Its totient is φ = 23778916761600.

The previous prime is 82136824833017. The next prime is 82136824833029. The reversal of 82136824833024 is 42033842863128.

82136824833024 is a `hidden beast` number, since 8 + 2 + 1 + 3 + 68 + 248 + 330 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82136824833029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78151117299 + ... + 78151118349.

Almost surely, 2^{82136824833024} 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 82136824833024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135449904844800).

82136824833024 is an abundant number, since it is smaller than the sum of its proper divisors (188762984856576).

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

82136824833024 is a wasteful number, since it uses less digits than its factorization.

82136824833024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 82136824833024 in words is "eighty-two trillion, one hundred thirty-six billion, eight hundred twenty-four million, eight hundred thirty-three thousand, twenty-four".