80852800800 has 144 divisors (see below), whose sum is σ = 264269773152. Its totient is φ = 21471129600.

The previous prime is 80852800789. The next prime is 80852800801. The reversal of 80852800800 is 800825808.

It is not an unprimeable number, because it can be changed into a prime (80852800801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 508507 + ... + 648293.

It is an arithmetic number, because the mean of its divisors is an integer number (1835206758).

Almost surely, 2^80852800800 is an apocalyptic number.

80852800800 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 80852800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132134886576).

80852800800 is an abundant number, since it is smaller than the sum of its proper divisors (183416972352).

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

80852800800 is a wasteful number, since it uses less digits than its factorization.

80852800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140051 (or 140038 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 80852800800 in words is "eighty billion, eight hundred fifty-two million, eight hundred thousand, eight hundred".