55305360 has 120 divisors (see below), whose sum is σ = 202647744. Its totient is φ = 13405440.

The previous prime is 55305359. The next prime is 55305391. The reversal of 55305360 is 6350355.

It is a happy number.

55305360 is a `hidden beast` number, since 553 + 0 + 53 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4429 + ... + 11411.

Almost surely, 2^55305360 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 55305360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101323872).

55305360 is an abundant number, since it is smaller than the sum of its proper divisors (147342384).

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

55305360 is a wasteful number, since it uses less digits than its factorization.

55305360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 55305360 is about 7436.7573578812. The cubic root of 55305360 is about 380.9977473155.

The spelling of 55305360 in words is "fifty-five million, three hundred five thousand, three hundred sixty".