55200564 has 36 divisors (see below), whose sum is σ = 147744324. Its totient is φ = 17317632.

The previous prime is 55200521. The next prime is 55200569. The reversal of 55200564 is 46500255.

It can be written as a sum of positive squares in 2 ways, for example, as 37307664 + 17892900 = 6108^2 + 4230^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55200569) 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, 44487 + ... + 45710.

It is an arithmetic number, because the mean of its divisors is an integer number (4104009).

Almost surely, 2^55200564 is an apocalyptic number.

It is an amenable number.

55200564 is an abundant number, since it is smaller than the sum of its proper divisors (92543760).

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

55200564 is a wasteful number, since it uses less digits than its factorization.

55200564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90224 (or 90219 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 55200564 is about 7429.7082042298. The cubic root of 55200564 is about 380.7569491647.

The spelling of 55200564 in words is "fifty-five million, two hundred thousand, five hundred sixty-four".