55995280 has 160 divisors (see below), whose sum is σ = 159096960. Its totient is φ = 18063360.

The previous prime is 55995257. The next prime is 55995281. The reversal of 55995280 is 8259955.

55995280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55995281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 284142 + ... + 284338.

It is an arithmetic number, because the mean of its divisors is an integer number (994356).

Almost surely, 2^55995280 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 55995280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79548480).

55995280 is an abundant number, since it is smaller than the sum of its proper divisors (103101680).

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

55995280 is a wasteful number, since it uses less digits than its factorization.

55995280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 43.

The square root of 55995280 is about 7482.9993986369. Note that the first 3 decimals coincide. The cubic root of 55995280 is about 382.5754874011.

The spelling of 55995280 in words is "fifty-five million, nine hundred ninety-five thousand, two hundred eighty".