53542800 has 180 divisors, whose sum is σ = 188894160. Its totient is φ = 14042880.

The previous prime is 53542793. The next prime is 53542829. The reversal of 53542800 is 824535.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 385131 + ... + 385269.

It is an arithmetic number, because the mean of its divisors is an integer number (1049412).

Almost surely, 2^53542800 is an apocalyptic number.

53542800 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 53542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447080).

53542800 is an abundant number, since it is smaller than the sum of its proper divisors (135351360).

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

53542800 is a wasteful number, since it uses less digits than its factorization.

53542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53542800 is about 7317.2945820160. The cubic root of 53542800 is about 376.9065570137.

The spelling of 53542800 in words is "fifty-three million, five hundred forty-two thousand, eight hundred".