82840086822800 has 60 divisors (see below), whose sum is σ = 200955573823680. Its totient is φ = 32814325637760.

The previous prime is 82840086822793. The next prime is 82840086822803. The reversal of 82840086822800 is 822868004828.

It is not an unprimeable number, because it can be changed into a prime (82840086822803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1005299660 + ... + 1005382059.

It is an arithmetic number, because the mean of its divisors is an integer number (3349259563728).

Almost surely, 2^{82840086822800} is an apocalyptic number.

82840086822800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82840086822800 is an abundant number, since it is smaller than the sum of its proper divisors (118115487000880).

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

82840086822800 is a wasteful number, since it uses less digits than its factorization.

82840086822800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010681840 (or 2010681829 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 56.

The spelling of 82840086822800 in words is "eighty-two trillion, eight hundred forty billion, eighty-six million, eight hundred twenty-two thousand, eight hundred".