55948800 has 240 divisors, whose sum is σ = 194844672. Its totient is φ = 14131200.

The previous prime is 55948759. The next prime is 55948807. The reversal of 55948800 is 884955.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55948807) by changing a digit.

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, 1190377 + ... + 1190423.

Almost surely, 2^55948800 is an apocalyptic number.

55948800 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 55948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97422336).

55948800 is an abundant number, since it is smaller than the sum of its proper divisors (138895872).

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

55948800 is a wasteful number, since it uses less digits than its factorization.

55948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 55948800 is about 7479.8930473637. The cubic root of 55948800 is about 382.4696032917.

The spelling of 55948800 in words is "fifty-five million, nine hundred forty-eight thousand, eight hundred".