55014400 has 132 divisors (see below), whose sum is σ = 156358048. Its totient is φ = 18800640.

The previous prime is 55014391. The next prime is 55014433. The reversal of 55014400 is 441055.

It is a congruent number.

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, 179047 + ... + 179353.

Almost surely, 2^55014400 is an apocalyptic number.

55014400 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 55014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78179024).

55014400 is an abundant number, since it is smaller than the sum of its proper divisors (101343648).

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

55014400 is a wasteful number, since it uses less digits than its factorization.

55014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 55014400 is about 7417.1692713595. The cubic root of 55014400 is about 380.3284325833.

Adding to 55014400 its reverse (441055), we get a palindrome (55455455).

The spelling of 55014400 in words is "fifty-five million, fourteen thousand, four hundred".