55577200 has 120 divisors (see below), whose sum is σ = 159418368. Its totient is φ = 18205440.

The previous prime is 55577117. The next prime is 55577209. The reversal of 55577200 is 277555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55577209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63969 + ... + 64831.

Almost surely, 2^55577200 is an apocalyptic number.

55577200 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 55577200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79709184).

55577200 is an abundant number, since it is smaller than the sum of its proper divisors (103841168).

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

55577200 is a wasteful number, since it uses less digits than its factorization.

55577200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 31.

The square root of 55577200 is about 7455.0117370800. The cubic root of 55577200 is about 381.6209611582.

The spelling of 55577200 in words is "fifty-five million, five hundred seventy-seven thousand, two hundred".