55252800 has 168 divisors, whose sum is σ = 201574400. Its totient is φ = 14722560.

The previous prime is 55252793. The next prime is 55252811. The reversal of 55252800 is 825255.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42561 + ... + 43839.

Almost surely, 2^55252800 is an apocalyptic number.

55252800 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 55252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100787200).

55252800 is an abundant number, since it is smaller than the sum of its proper divisors (146321600).

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

55252800 is a wasteful number, since it uses less digits than its factorization.

55252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 55252800 is about 7433.2227196553. Note that the first 3 decimals coincide. The cubic root of 55252800 is about 380.8770140588.

The spelling of 55252800 in words is "fifty-five million, two hundred fifty-two thousand, eight hundred".