55165600 has 72 divisors (see below), whose sum is σ = 153927648. Its totient is φ = 18912000.

The previous prime is 55165597. The next prime is 55165601. The reversal of 55165600 is 656155.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (55165601) 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, 675 + ... + 10525.

It is an arithmetic number, because the mean of its divisors is an integer number (2137884).

Almost surely, 2^55165600 is an apocalyptic number.

55165600 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 55165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76963824).

55165600 is an abundant number, since it is smaller than the sum of its proper divisors (98762048).

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

55165600 is a wasteful number, since it uses less digits than its factorization.

55165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9878 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 55165600 is about 7427.3548454345. The cubic root of 55165600 is about 380.6765417874.

The spelling of 55165600 in words is "fifty-five million, one hundred sixty-five thousand, six hundred".