84805280448000 has 1280 divisors, whose sum is σ = 333731814653952. Its totient is φ = 18696683520000.

The previous prime is 84805280447999. The next prime is 84805280448013. The reversal of 84805280448000 is 84408250848.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13207484790 + ... + 13207491210.

Almost surely, 2^{84805280448000} is an apocalyptic number.

84805280448000 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 84805280448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166865907326976).

84805280448000 is an abundant number, since it is smaller than the sum of its proper divisors (248926534205952).

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

84805280448000 is a wasteful number, since it uses less digits than its factorization.

84805280448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 51.

Adding to 84805280448000 its reverse (84408250848), we get a palindrome (84889688698848).

The spelling of 84805280448000 in words is "eighty-four trillion, eight hundred five billion, two hundred eighty million, four hundred forty-eight thousand".