82417853952 has 240 divisors, whose sum is σ = 287836746912. Its totient is φ = 22162636800.

The previous prime is 82417853933. The next prime is 82417853957. The reversal of 82417853952 is 25935871428.

82417853952 is a `hidden beast` number, since 8 + 241 + 7 + 8 + 5 + 395 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82417853957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473202 + ... + 623502.

Almost surely, 2^82417853952 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 82417853952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143918373456).

82417853952 is an abundant number, since it is smaller than the sum of its proper divisors (205418892960).

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

82417853952 is a wasteful number, since it uses less digits than its factorization.

82417853952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150349 (or 150330 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 82417853952 in words is "eighty-two billion, four hundred seventeen million, eight hundred fifty-three thousand, nine hundred fifty-two".