55279360 has 72 divisors (see below), whose sum is σ = 139441680. Its totient is φ = 20938752.

The previous prime is 55279351. The next prime is 55279403. The reversal of 55279360 is 6397255.

55279360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23184 + ... + 25456.

It is an arithmetic number, because the mean of its divisors is an integer number (1936690).

Almost surely, 2^55279360 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 55279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69720840).

55279360 is an abundant number, since it is smaller than the sum of its proper divisors (84162320).

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

55279360 is a wasteful number, since it uses less digits than its factorization.

55279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 55279360 is about 7435.0090786764. The cubic root of 55279360 is about 380.9380334279.

The spelling of 55279360 in words is "fifty-five million, two hundred seventy-nine thousand, three hundred sixty".