55105760 has 48 divisors (see below), whose sum is σ = 130754736. Its totient is φ = 21946368.

The previous prime is 55105759. The next prime is 55105777. The reversal of 55105760 is 6750155.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44672 + ... + 45888.

It is an arithmetic number, because the mean of its divisors is an integer number (2724057).

Almost surely, 2^55105760 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 55105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65377368).

55105760 is an abundant number, since it is smaller than the sum of its proper divisors (75648976).

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

55105760 is a wasteful number, since it uses less digits than its factorization.

55105760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 29.

The square root of 55105760 is about 7423.3254003849. The cubic root of 55105760 is about 380.5388477302.

The spelling of 55105760 in words is "fifty-five million, one hundred five thousand, seven hundred sixty".