55200600 has 288 divisors, whose sum is σ = 228839520. Its totient is φ = 11612160.

The previous prime is 55200599. The next prime is 55200631. The reversal of 55200600 is 600255.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163632 + ... + 163968.

Almost surely, 2^55200600 is an apocalyptic number.

55200600 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 55200600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114419760).

55200600 is an abundant number, since it is smaller than the sum of its proper divisors (173638920).

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

55200600 is a wasteful number, since it uses less digits than its factorization.

55200600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55200600 is about 7429.7106269356. The cubic root of 55200600 is about 380.7570319371.

Adding to 55200600 its reverse (600255), we get a palindrome (55800855).

The spelling of 55200600 in words is "fifty-five million, two hundred thousand, six hundred".