55265600 has 84 divisors (see below), whose sum is σ = 146503644. Its totient is φ = 20398080.

The previous prime is 55265563. The next prime is 55265603. The reversal of 55265600 is 656255.

It can be written as a sum of positive squares in 6 ways, for example, as 3655744 + 51609856 = 1912^2 + 7184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55265603) 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, 19472 + ... + 22128.

It is an arithmetic number, because the mean of its divisors is an integer number (1744091).

Almost surely, 2^55265600 is an apocalyptic number.

55265600 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 55265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73251822).

55265600 is an abundant number, since it is smaller than the sum of its proper divisors (91238044).

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

55265600 is a wasteful number, since it uses less digits than its factorization.

55265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 55265600 is about 7434.0836691552. The cubic root of 55265600 is about 380.9064234242.

The spelling of 55265600 in words is "fifty-five million, two hundred sixty-five thousand, six hundred".