55042560 has 120 divisors (see below), whose sum is σ = 190707660. Its totient is φ = 14671872.

The previous prime is 55042523. The next prime is 55042621. The reversal of 55042560 is 6524055.

It can be written as a sum of positive squares in 2 ways, for example, as 52533504 + 2509056 = 7248^2 + 1584^2 .

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

It is a super-2 number, since 2×55042560² = 6059366822707200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21846 + ... + 24234.

Almost surely, 2^55042560 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 55042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95353830).

55042560 is an abundant number, since it is smaller than the sum of its proper divisors (135665100).

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

55042560 is a wasteful number, since it uses less digits than its factorization.

55042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 55042560 is about 7419.0673268275. The cubic root of 55042560 is about 380.3933139102.

The spelling of 55042560 in words is "fifty-five million, forty-two thousand, five hundred sixty".