53808817920 has 1152 divisors, whose sum is σ = 217573171200. Its totient is φ = 11147673600.

The previous prime is 53808817903. The next prime is 53808817921. The reversal of 53808817920 is 2971880835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53808817921) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 493658826 + ... + 493658934.

It is an arithmetic number, because the mean of its divisors is an integer number (188865600).

Almost surely, 2^53808817920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53808817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108786585600).

53808817920 is an abundant number, since it is smaller than the sum of its proper divisors (163764353280).

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

53808817920 is a wasteful number, since it uses less digits than its factorization.

53808817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 53808817920 in words is "fifty-three billion, eight hundred eight million, eight hundred seventeen thousand, nine hundred twenty".