55189200 has 240 divisors, whose sum is σ = 199826496. Its totient is φ = 12902400.

The previous prime is 55189193. The next prime is 55189261. The reversal of 55189200 is 298155.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488344 + ... + 488456.

Almost surely, 2^55189200 is an apocalyptic number.

55189200 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 55189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99913248).

55189200 is an abundant number, since it is smaller than the sum of its proper divisors (144637296).

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

55189200 is a wasteful number, since it uses less digits than its factorization.

55189200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 55189200 is about 7428.9433972807. The cubic root of 55189200 is about 380.7308188826.

The spelling of 55189200 in words is "fifty-five million, one hundred eighty-nine thousand, two hundred".