82955279232 has 384 divisors, whose sum is σ = 291495110400. Its totient is φ = 22116188160.

The previous prime is 82955279203. The next prime is 82955279237. The reversal of 82955279232 is 23297255928.

82955279232 is a `hidden beast` number, since 8 + 2 + 95 + 527 + 9 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82955279237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10261432 + ... + 10269512.

It is an arithmetic number, because the mean of its divisors is an integer number (759101850).

Almost surely, 2^82955279232 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 82955279232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145747555200).

82955279232 is an abundant number, since it is smaller than the sum of its proper divisors (208539831168).

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

82955279232 is a wasteful number, since it uses less digits than its factorization.

82955279232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8194 (or 8179 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 82955279232 in words is "eighty-two billion, nine hundred fifty-five million, two hundred seventy-nine thousand, two hundred thirty-two".