55618560 has 264 divisors, whose sum is σ = 206927136. Its totient is φ = 13762560.

The previous prime is 55618513. The next prime is 55618561. The reversal of 55618560 is 6581655.

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 (55618561) 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, 783325 + ... + 783395.

Almost surely, 2^55618560 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 55618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103463568).

55618560 is an abundant number, since it is smaller than the sum of its proper divisors (151308576).

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

55618560 is a wasteful number, since it uses less digits than its factorization.

55618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

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

The square root of 55618560 is about 7457.7851940104. The cubic root of 55618560 is about 381.7156038604.

The spelling of 55618560 in words is "fifty-five million, six hundred eighteen thousand, five hundred sixty".