53881800 has 96 divisors (see below), whose sum is σ = 190910400. Its totient is φ = 12314880.

The previous prime is 53881781. The next prime is 53881843. The reversal of 53881800 is 818835.

53881800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2215 + ... + 10614.

It is an arithmetic number, because the mean of its divisors is an integer number (1988650).

Almost surely, 2^53881800 is an apocalyptic number.

53881800 is a gapful number since it is divisible by the number (50) 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 53881800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95455200).

53881800 is an abundant number, since it is smaller than the sum of its proper divisors (137028600).

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

53881800 is a wasteful number, since it uses less digits than its factorization.

53881800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12855 (or 12846 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 53881800 is about 7340.4223311741. The cubic root of 53881800 is about 377.7003307855.

The spelling of 53881800 in words is "fifty-three million, eight hundred eighty-one thousand, eight hundred".