82857507680 has 96 divisors (see below), whose sum is σ = 207551121120. Its totient is φ = 31150448640.

The previous prime is 82857507647. The next prime is 82857507703. The reversal of 82857507680 is 8670575828.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1989470 + ... + 2030690.

It is an arithmetic number, because the mean of its divisors is an integer number (2161990845).

Almost surely, 2^82857507680 is an apocalyptic number.

82857507680 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 82857507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103775560560).

82857507680 is an abundant number, since it is smaller than the sum of its proper divisors (124693613440).

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

82857507680 is a wasteful number, since it uses less digits than its factorization.

82857507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41992 (or 41984 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 56.

The spelling of 82857507680 in words is "eighty-two billion, eight hundred fifty-seven million, five hundred seven thousand, six hundred eighty".