55809600 has 336 divisors, whose sum is σ = 229794816. Its totient is φ = 11520000.

The previous prime is 55809577. The next prime is 55809613. The reversal of 55809600 is 690855.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×55809600² = 6229422904320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 369525 + ... + 369675.

Almost surely, 2^55809600 is an apocalyptic number.

55809600 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 55809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114897408).

55809600 is an abundant number, since it is smaller than the sum of its proper divisors (173985216).

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

55809600 is a wasteful number, since it uses less digits than its factorization.

55809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 55809600 is about 7470.5823066211. The cubic root of 55809600 is about 382.1521464786.

The spelling of 55809600 in words is "fifty-five million, eight hundred nine thousand, six hundred".