55180560 has 80 divisors (see below), whose sum is σ = 180077760. Its totient is φ = 13939200.

The previous prime is 55180529. The next prime is 55180571. The reversal of 55180560 is 6508155.

It is a happy number.

55180560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491 + ... + 10610.

It is an arithmetic number, because the mean of its divisors is an integer number (2250972).

Almost surely, 2^55180560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55180560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90038880).

55180560 is an abundant number, since it is smaller than the sum of its proper divisors (124897200).

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

55180560 is a wasteful number, since it uses less digits than its factorization.

55180560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12136 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 55180560 is about 7428.3618651759. The cubic root of 55180560 is about 380.7109497419.

The spelling of 55180560 in words is "fifty-five million, one hundred eighty thousand, five hundred sixty".