55564800 has 120 divisors (see below), whose sum is σ = 183681696. Its totient is φ = 14807040.

The previous prime is 55564793. The next prime is 55564819. The reversal of 55564800 is 846555.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37677 + ... + 39123.

Almost surely, 2^55564800 is an apocalyptic number.

55564800 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 55564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91840848).

55564800 is an abundant number, since it is smaller than the sum of its proper divisors (128116896).

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

55564800 is a wasteful number, since it uses less digits than its factorization.

55564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 55564800 is about 7454.1800353895. The cubic root of 55564800 is about 381.5925775051.

The spelling of 55564800 in words is "fifty-five million, five hundred sixty-four thousand, eight hundred".