83423593228800 has 480 divisors, whose sum is σ = 300687555389760. Its totient is φ = 20220552806400.

The previous prime is 83423593228799. The next prime is 83423593228831. The reversal of 83423593228800 is 882239532438.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3376230846 + ... + 3376255554.

It is an arithmetic number, because the mean of its divisors is an integer number (626432407062).

Almost surely, 2^{83423593228800} is an apocalyptic number.

83423593228800 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 83423593228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150343777694880).

83423593228800 is an abundant number, since it is smaller than the sum of its proper divisors (217263962160960).

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

83423593228800 is a wasteful number, since it uses less digits than its factorization.

83423593228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32744 (or 32723 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 83423593228800 in words is "eighty-three trillion, four hundred twenty-three billion, five hundred ninety-three million, two hundred twenty-eight thousand, eight hundred".