55771200 has 168 divisors, whose sum is σ = 203464160. Its totient is φ = 14860800.

The previous prime is 55771189. The next prime is 55771223. The reversal of 55771200 is 217755.

It is a super-2 number, since 2×55771200² = 6220853498880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 42555 + ... + 43845.

Almost surely, 2^55771200 is an apocalyptic number.

55771200 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 55771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101732080).

55771200 is an abundant number, since it is smaller than the sum of its proper divisors (147692960).

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

55771200 is a wasteful number, since it uses less digits than its factorization.

55771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 55771200 is about 7468.0117836008. The cubic root of 55771200 is about 382.0644793069.

Adding to 55771200 its reverse (217755), we get a palindrome (55988955).

The spelling of 55771200 in words is "fifty-five million, seven hundred seventy-one thousand, two hundred".