82379896444560 has 640 divisors, whose sum is σ = 300717552844800. Its totient is φ = 18392119050240.

The previous prime is 82379896444471. The next prime is 82379896444583. The reversal of 82379896444560 is 6544469897328.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43610320096 + ... + 43610321984.

It is an arithmetic number, because the mean of its divisors is an integer number (469871176320).

Almost surely, 2^{82379896444560} is an apocalyptic number.

82379896444560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82379896444560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150358776422400).

82379896444560 is an abundant number, since it is smaller than the sum of its proper divisors (218337656400240).

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

82379896444560 is a wasteful number, since it uses less digits than its factorization.

82379896444560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 75.

The spelling of 82379896444560 in words is "eighty-two trillion, three hundred seventy-nine billion, eight hundred ninety-six million, four hundred forty-four thousand, five hundred sixty".