82857484800 has 360 divisors, whose sum is σ = 299445816384. Its totient is φ = 21877678080.

The previous prime is 82857484789. The next prime is 82857484867. The reversal of 82857484800 is 848475828.

82857484800 is a `hidden beast` number, since 8 + 2 + 85 + 7 + 484 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11862109 + ... + 11869091.

Almost surely, 2^82857484800 is an apocalyptic number.

82857484800 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 82857484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149722908192).

82857484800 is an abundant number, since it is smaller than the sum of its proper divisors (216588331584).

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

82857484800 is a wasteful number, since it uses less digits than its factorization.

82857484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 82857484800 in words is "eighty-two billion, eight hundred fifty-seven million, four hundred eighty-four thousand, eight hundred".