55309200 has 60 divisors (see below), whose sum is σ = 177177648. Its totient is φ = 14748800.

The previous prime is 55309193. The next prime is 55309201. The reversal of 55309200 is 290355.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55309201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21846 + ... + 24245.

Almost surely, 2^55309200 is an apocalyptic number.

55309200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55309200 is an abundant number, since it is smaller than the sum of its proper divisors (121868448).

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

55309200 is a wasteful number, since it uses less digits than its factorization.

55309200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46112 (or 46101 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 55309200 is about 7437.0155304396. The cubic root of 55309200 is about 381.0065650111.

Adding to 55309200 its reverse (290355), we get a palindrome (55599555).

The spelling of 55309200 in words is "fifty-five million, three hundred nine thousand, two hundred".