55810816 has 36 divisors (see below), whose sum is σ = 111921264. Its totient is φ = 27776000.

The previous prime is 55810789. The next prime is 55810823. The reversal of 55810816 is 61801855.

55810816 = 259² + 260² + ... + 569².

It is a super-2 number, since 2×55810816² = 6229694365171712, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 79266 + ... + 79966.

It is an arithmetic number, because the mean of its divisors is an integer number (3108924).

Almost surely, 2^55810816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55960632).

55810816 is an abundant number, since it is smaller than the sum of its proper divisors (56110448).

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

55810816 is an equidigital number, since it uses as much as digits as its factorization.

55810816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The square root of 55810816 is about 7470.6636920691. The cubic root of 55810816 is about 382.1549219488.

The spelling of 55810816 in words is "fifty-five million, eight hundred ten thousand, eight hundred sixteen".