55216128 has 192 divisors, whose sum is σ = 172972800. Its totient is φ = 15482880.

The previous prime is 55216127. The next prime is 55216129. The reversal of 55216128 is 82161255.

It is an interprime number because it is at equal distance from previous prime (55216127) and next prime (55216129).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 55216095 and 55216104.

It is not an unprimeable number, because it can be changed into a prime (55216121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284075 + ... + 1284117.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 2^55216128 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 55216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

55216128 is an abundant number, since it is smaller than the sum of its proper divisors (117756672).

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

55216128 is a wasteful number, since it uses less digits than its factorization.

55216128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 55216128 is about 7430.7555470490. The cubic root of 55216128 is about 380.7927310714.

The spelling of 55216128 in words is "fifty-five million, two hundred sixteen thousand, one hundred twenty-eight".