55295280 has 120 divisors (see below), whose sum is σ = 188894160. Its totient is φ = 14492160.

The previous prime is 55295267. The next prime is 55295287. The reversal of 55295280 is 8259255.

55295280 is a `hidden beast` number, since 5 + 529 + 52 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55295287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43291 + ... + 44549.

It is an arithmetic number, because the mean of its divisors is an integer number (1574118).

Almost surely, 2^55295280 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 55295280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447080).

55295280 is an abundant number, since it is smaller than the sum of its proper divisors (133598880).

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

55295280 is a wasteful number, since it uses less digits than its factorization.

55295280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55295280 is about 7436.0796122688. The cubic root of 55295280 is about 380.9745989224.

The spelling of 55295280 in words is "fifty-five million, two hundred ninety-five thousand, two hundred eighty".