55110400 has 108 divisors (see below), whose sum is σ = 139400800. Its totient is φ = 21565440.

The previous prime is 55110397. The next prime is 55110403. The reversal of 55110400 is 401155.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55110397) and next prime (55110403).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (55110403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505546 + ... + 505654.

Almost surely, 2^55110400 is an apocalyptic number.

55110400 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 55110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69700400).

55110400 is an abundant number, since it is smaller than the sum of its proper divisors (84290400).

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

55110400 is a wasteful number, since it uses less digits than its factorization.

55110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 55110400 is about 7423.6379222050. The cubic root of 55110400 is about 380.5495281061.

Adding to 55110400 its reverse (401155), we get a palindrome (55511555).

The spelling of 55110400 in words is "fifty-five million, one hundred ten thousand, four hundred".