82913379584 has 72 divisors (see below), whose sum is σ = 189457215360. Its totient is φ = 35475867648.

The previous prime is 82913379583. The next prime is 82913379631. The reversal of 82913379584 is 48597331928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82913379583) 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 7 ways as a sum of consecutive naturals, for example, 1060757 + ... + 1136235.

Almost surely, 2^82913379584 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 82913379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94728607680).

82913379584 is an abundant number, since it is smaller than the sum of its proper divisors (106543835776).

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

82913379584 is an equidigital number, since it uses as much as digits as its factorization.

82913379584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76115 (or 76101 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 59.

The spelling of 82913379584 in words is "eighty-two billion, nine hundred thirteen million, three hundred seventy-nine thousand, five hundred eighty-four".